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141131334240234 = 234131717922022323
BaseRepresentation
bin100000000101101110110011…
…000010110100011111101010
3200111201000122100012122020000
4200011232303002310133222
5121444243433031141414
61220054501230043430
741504255012461512
oct4005566302643752
9614630570178200
10141131334240234
1140a7250a98a748
12139b4246349576
136099821116a10
1426bcb160b4842
15114b23acbbb09
hex805bb30b47ea

141131334240234 has 160 divisors (see below), whose sum is σ = 362612539840320. Its totient is φ = 40642283340288.

The previous prime is 141131334240139. The next prime is 141131334240263. The reversal of 141131334240234 is 432042433131141.

141131334240234 is a `hidden beast` number, since 1 + 4 + 11 + 31 + 3 + 342 + 40 + 234 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4602604 + ... + 17419719.

It is an arithmetic number, because the mean of its divisors is an integer number (2266328374002).

Almost surely, 2141131334240234 is an apocalyptic number.

141131334240234 is an abundant number, since it is smaller than the sum of its proper divisors (221481205600086).

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

141131334240234 is a wasteful number, since it uses less digits than its factorization.

141131334240234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22022546 (or 22022537 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 141131334240234 its reverse (432042433131141), we get a palindrome (573173767371375).

The spelling of 141131334240234 in words is "one hundred forty-one trillion, one hundred thirty-one billion, three hundred thirty-four million, two hundred forty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 179 221 234 306 351 358 442 459 537 663 702 918 1053 1074 1326 1377 1611 1989 2106 2327 2754 3043 3222 3978 4654 4833 5967 6086 6981 9129 9666 11934 13962 14499 17901 18258 20943 27387 28998 35802 39559 41886 54774 62829 79118 82161 118677 125658 164322 188487 237354 246483 356031 376974 492966 712062 1068093 2136186 3204279 6408558 22022323 44044646 66066969 132133938 198200907 286290199 374379491 396401814 572580398 594602721 748758982 858870597 1123138473 1189205442 1717741194 1783808163 2246276946 2576611791 3369415419 3567616326 3941995817 4866933383 5153223582 6738830838 7729835373 7883991634 9733866766 10108246257 11825987451 14600800149 15459670746 20216492514 23189506119 23651974902 29201600298 30324738771 35477962353 43802400447 46379012238 51245945621 60649477542 67013928889 70955924706 87604800894 102491891242 106433887059 131407201341 134027857778 153737836863 201041786667 212867774118 262814402682 307475673726 319301661177 394221604023 402083573334 461213510589 603125360001 638603322354 788443208046 871181075557 922427021178 1206250720002 1383640531767 1742362151114 1809376080003 2613543226671 2767281063534 3618752160006 4150921595301 5227086453342 5428128240009 7840629680013 8301843190602 10856256480018 15681259360026 23521889040039 47043778080078 70565667120117 141131334240234