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141232332312104 = 231161130338635227
BaseRepresentation
bin100000000111001100110110…
…111111111000111000101000
3200112001200100001220021200112
4200013030312333320320220
5122002422304032441404
61220213123205153452
741514461566100525
oct4007146677707050
9615050301807615
10141232332312104
1141001328741a30
1213a0b9323bb888
1360a61c8639b17
1426c397790014c
15114db9c95656e
hex807336ff8e28

141232332312104 has 128 divisors (see below), whose sum is σ = 293977764218880. Its totient is φ = 63067250937600.

The previous prime is 141232332312091. The next prime is 141232332312157. The reversal of 141232332312104 is 401213233232141.

141232332312104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27019766339 + ... + 27019771565.

It is an arithmetic number, because the mean of its divisors is an integer number (2296701282960).

Almost surely, 2141232332312104 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 141232332312104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146988882109440).

141232332312104 is an abundant number, since it is smaller than the sum of its proper divisors (152745431906776).

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

141232332312104 is a wasteful number, since it uses less digits than its factorization.

141232332312104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10471 (or 10467 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 141232332312104 its reverse (401213233232141), we get a palindrome (542445565544245).

The spelling of 141232332312104 in words is "one hundred forty-one trillion, two hundred thirty-two billion, three hundred thirty-two million, three hundred twelve thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 61 88 122 244 488 671 1303 1342 2606 2684 3863 5212 5227 5368 7726 10424 10454 14333 15452 20908 28666 30904 41816 42493 57332 57497 79483 84986 114664 114994 158966 169972 229988 235643 317932 318847 339944 459976 471286 635864 637694 874313 942572 1275388 1748626 1885144 2550776 2592073 3497252 3507317 5033489 5184146 6810781 6994504 7014634 10066978 10368292 13621562 14029268 20133956 20191901 20736584 27243124 28058536 40267912 40383802 54486248 55368379 74918591 80767604 110736758 149837182 161535208 221473516 222110911 299674364 307042829 415457641 442947032 444221822 599348728 614085658 830915282 888443644 1228171316 1231705961 1661830564 1776887288 2456342632 2463411922 3323661128 3377471119 4570034051 4926823844 6754942238 9140068102 9853647688 13509884476 13548765571 18280136204 26310047003 27019768952 27097531142 36560272408 52620094006 54195062284 105240188012 108390124568 210480376024 289410517033 578821034066 1157642068132 1604912867183 2315284136264 3209825734366 6419651468732 12839302937464 17654041539013 35308083078026 70616166156052 141232332312104