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141564688672 = 25111922348437
BaseRepresentation
bin1000001111010111101…
…0011011100100100000
3111112101212221022002111
42003311322123210200
54304411030014142
6145011154325104
713141050666601
oct2036572334440
9445355838074
10141564688672
1155045637980
1223529889794
1310470ab3394
146bcd36dda8
153a38297e17
hex20f5e9b920

141564688672 has 144 divisors (see below), whose sum is σ = 334845306432. Its totient is φ = 58309194240.

The previous prime is 141564688637. The next prime is 141564688687. The reversal of 141564688672 is 276886465141.

It is a super-2 number, since 2×1415646886722 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2898438 + ... + 2946874.

It is an arithmetic number, because the mean of its divisors is an integer number (2325314628).

Almost surely, 2141564688672 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 141564688672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167422653216).

141564688672 is an abundant number, since it is smaller than the sum of its proper divisors (193280617760).

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

141564688672 is a wasteful number, since it uses less digits than its factorization.

141564688672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48519 (or 48492 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 58.

The spelling of 141564688672 in words is "one hundred forty-one billion, five hundred sixty-four million, six hundred eighty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 19 22 23 32 38 44 46 76 88 92 152 176 184 209 253 304 352 361 368 418 437 506 608 722 736 836 874 1012 1444 1672 1748 2024 2888 3344 3496 3971 4048 4807 5776 6688 6992 7942 8096 8303 9614 11552 13984 15884 16606 19228 31768 33212 38456 48437 63536 66424 76912 91333 96874 127072 132848 153824 182666 193748 265696 365332 387496 532807 730664 774992 920303 1065614 1114051 1461328 1549984 1840606 2131228 2228102 2922656 3681212 4262456 4456204 7362424 8524912 8912408 10123333 12254561 14724848 17049824 17485757 17824816 20246666 21166969 24509122 29449696 34971514 35649632 40493332 42333938 49018244 69943028 80986664 84667876 98036488 139886056 161973328 169335752 192343327 196072976 232836659 279772112 323946656 338671504 384686654 392145952 402172411 465673318 559544224 677343008 769373308 804344822 931346636 1538746616 1608689644 1862693272 3077493232 3217379288 3725386544 4423896521 6154986464 6434758576 7450773088 8847793042 12869517152 17695586084 35391172168 70782344336 141564688672