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141151023244 = 2271141109102547
BaseRepresentation
bin1000001101110101000…
…0011011000010001100
3111111100001112220210201
42003131100123002030
54303034130220434
6144502140143244
713124565621130
oct2033520330214
9444301486721
10141151023244
1154953088a20
1223433237b24
1310406198a3a
146b9044d3c0
153a11cd5614
hex20dd41b08c

141151023244 has 96 divisors (see below), whose sum is σ = 318374622720. Its totient is φ = 53159846400.

The previous prime is 141151023241. The next prime is 141151023259. The reversal of 141151023244 is 442320151141.

It is a happy number.

It is a super-2 number, since 2×1411510232442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (141151023241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1325179 + ... + 1427725.

It is an arithmetic number, because the mean of its divisors is an integer number (3316402320).

Almost surely, 2141151023244 is an apocalyptic number.

141151023244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141151023244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159187311360).

141151023244 is an abundant number, since it is smaller than the sum of its proper divisors (177223599476).

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

141151023244 is a wasteful number, since it uses less digits than its factorization.

141151023244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102719 (or 102717 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 141151023244 its reverse (442320151141), we get a palindrome (583471174385).

The spelling of 141151023244 in words is "one hundred forty-one billion, one hundred fifty-one million, twenty-three thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 41 44 77 82 109 154 164 218 287 308 436 451 574 763 902 1148 1199 1526 1804 2398 3052 3157 4469 4796 6314 8393 8938 12628 16786 17876 31283 33572 49159 62566 98318 102547 125132 196636 205094 344113 410188 688226 717829 1128017 1376452 1435658 2256034 2871316 4204427 4512068 7896119 8408854 11177623 15792238 16817708 22355246 29430989 31584476 44710492 46248697 58861978 78243361 92497394 117723956 122953853 156486722 184994788 245907706 312973444 323740879 458282543 491815412 647481758 860676971 916565086 1294963516 1721353942 1833130172 3207977801 3442707884 5041107973 6415955602 10082215946 12831911204 20164431892 35287755811 70575511622 141151023244