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241142311410 = 235711138030047
BaseRepresentation
bin1110000010010100110…
…0111010100111110010
3212001102121210122122220
43200211030322213302
512422324412431120
6302440152341510
723264505553530
oct3404514724762
9761377718586
10241142311410
11932a4603760
123a89a0a4896
131997cc48040
14b958283150
15641539db40
hex382533a9f2

241142311410 has 128 divisors (see below), whose sum is σ = 777051684864. Its totient is φ = 46253064960.

The previous prime is 241142311387. The next prime is 241142311441. The reversal of 241142311410 is 14113241142.

It is a happy number.

241142311410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2411423114102 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3984994 + ... + 4045053.

It is an arithmetic number, because the mean of its divisors is an integer number (6070716288).

Almost surely, 2241142311410 is an apocalyptic number.

241142311410 is an abundant number, since it is smaller than the sum of its proper divisors (535909373454).

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

241142311410 is a wasteful number, since it uses less digits than its factorization.

241142311410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8030088.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 241142311410 its reverse (14113241142), we get a palindrome (255255552552).

The spelling of 241142311410 in words is "two hundred forty-one billion, one hundred forty-two million, three hundred eleven thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 2002 2145 2310 2730 3003 4290 5005 6006 10010 15015 30030 8030047 16060094 24090141 40150235 48180282 56210329 80300470 88330517 104390611 112420658 120450705 168630987 176661034 208781222 240901410 264991551 281051645 313171833 337261974 441652585 521953055 529983102 562103290 618313619 626343666 730734277 843154935 883305170 1043906110 1148296721 1236627238 1324957755 1461468554 1565859165 1686309870 1854940857 2192202831 2296593442 2649915510 3091568095 3131718330 3444890163 3653671385 3709881714 4384405662 5741483605 6183136190 6889780326 7307342770 8038077047 9274704285 10961014155 11482967210 16076154094 17224450815 18549408570 21922028310 24114231141 34448901630 40190385235 48228462282 80380770470 120571155705 241142311410