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241242241340144 = 2411171311019604013
BaseRepresentation
bin110110110110100010010110…
…000110011001001011110000
31011122011112101120210121000202
4312312202112012121023300
5223110003102240341034
62213025053344534332
7101546114426503502
oct6666422606311360
91148145346717022
10241242241340144
116a95a295078580
12230824426213a8
13a47c07966aa65
144380288753d72
151cd53e711447e
hexdb68961992f0

241242241340144 has 160 divisors (see below), whose sum is σ = 544548483452160. Its totient is φ = 102316733542400.

The previous prime is 241242241340143. The next prime is 241242241340167. The reversal of 241242241340144 is 441043142242142.

It is a super-2 number, since 2×2412422413401442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241242241340098 and 241242241340107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241242241340143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399097082 + ... + 399701094.

It is an arithmetic number, because the mean of its divisors is an integer number (3403428021576).

Almost surely, 2241242241340144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241242241340144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272274241726080).

241242241340144 is an abundant number, since it is smaller than the sum of its proper divisors (303306242112016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

241242241340144 is a wasteful number, since it uses less digits than its factorization.

241242241340144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605199 (or 605193 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 38.

Adding to 241242241340144 its reverse (441043142242142), we get a palindrome (682285383582286).

The spelling of 241242241340144 in words is "two hundred forty-one trillion, two hundred forty-two billion, two hundred forty-one million, three hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 131 136 176 187 262 272 374 524 748 1019 1048 1441 1496 2038 2096 2227 2882 2992 4076 4454 5764 8152 8908 11209 11528 16304 17323 17816 22418 23056 24497 34646 35632 44836 48994 69292 89672 97988 133489 138584 179344 190553 195976 266978 277168 381106 391952 533956 604013 762212 1067912 1208026 1468379 1524424 2135824 2269313 2416052 2936758 3048848 4538626 4832104 5873516 6644143 9077252 9664208 10268221 11747032 13288286 18154504 20536442 23494064 24962443 26576572 36309008 41072884 49924886 53153144 79125703 82145768 99849772 106306288 112950431 158251406 164291536 199699544 225900862 316502812 399399088 451801724 615489247 633005624 870382733 903603448 1230978494 1266011248 1345136951 1740765466 1807206896 2461956988 2690273902 3481530932 4923913976 5380547804 6770381717 6963061864 9847827952 10463317199 10761095608 13540763434 13926123728 14796506461 20926634398 21522191216 27081526868 29593012922 41853268796 54163053736 59186025844 80629091357 83706537592 108326107472 115096489189 118372051688 161258182714 167413075184 230192978378 236744103376 322516365428 460385956756 645032730856 886920004927 920771913512 1290065461712 1370694553069 1773840009854 1841543827024 2741389106138 3547680019708 5482778212276 7095360039416 10965556424552 14190720078832 15077640083759 21931112849104 30155280167518 60310560335036 120621120670072 241242241340144