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141624465632 = 25134321011823
BaseRepresentation
bin1000001111100101111…
…0011101100011100000
3111112120001102021122222
42003321132131203200
54310021330400012
6145021131450212
713142405044466
oct2037136354340
9445501367588
10141624465632
1155076356221
12235458b6968
13104802b2970
146bd7290836
153a3d654972
hex20f979d8e0

141624465632 has 144 divisors (see below), whose sum is σ = 310630578048. Its totient is φ = 63178214400.

The previous prime is 141624465559. The next prime is 141624465673. The reversal of 141624465632 is 236564426141.

141624465632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 77686673 + ... + 77688495.

It is an arithmetic number, because the mean of its divisors is an integer number (2157156792).

Almost surely, 2141624465632 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 141624465632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155315289024).

141624465632 is an abundant number, since it is smaller than the sum of its proper divisors (169006112416).

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

141624465632 is a wasteful number, since it uses less digits than its factorization.

141624465632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 1982 counting only the distinct ones).

The product of its digits is 829440, while the sum is 44.

The spelling of 141624465632 in words is "one hundred forty-one billion, six hundred twenty-four million, four hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 101 104 172 202 208 344 404 416 559 688 808 1118 1313 1376 1616 1823 1849 2236 2626 3232 3646 3698 4343 4472 5252 7292 7396 8686 8944 10504 14584 14792 17372 17888 21008 23699 24037 29168 29584 34744 42016 47398 48074 56459 58336 59168 69488 78389 94796 96148 112918 138976 156778 184123 186749 189592 192296 225836 313556 368246 373498 379184 384592 451672 627112 736492 746996 758368 769184 903344 1019057 1254224 1472984 1493992 1806688 2038114 2393599 2427737 2508448 2945968 2987984 3370727 4076228 4787198 4855474 5891936 5975968 6741454 7917289 8152456 9574396 9710948 13482908 15834578 16304912 19148792 19421896 26965816 31669156 32609824 38297584 38843792 43819451 53931632 63338312 76595168 77687584 87638902 102924757 107863264 126676624 175277804 205849514 253353248 340443427 350555608 411699028 680886854 701111216 823398056 1361773708 1402222432 1646796112 2723547416 3293592224 4425764551 5447094832 8851529102 10894189664 17703058204 35406116408 70812232816 141624465632