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50134011105144 = 233372272017123307
BaseRepresentation
bin10110110011000101110111…
…11011000100111101111000
320120111202122102200202121110
423121202323323010331320
523032343423320331034
6254343125144240320
713363030350133431
oct1331427373047570
9216452572622543
1050134011105144
1114a7979530694a
125758382a700a0
1321c8803606ab5
14c546db6b8488
155be179bddde9
hex2d98bbec4f78

50134011105144 has 128 divisors (see below), whose sum is σ = 129354669192960. Its totient is φ = 16179893710848.

The previous prime is 50134011105137. The next prime is 50134011105179. The reversal of 50134011105144 is 44150111043105.

It is a super-3 number, since 3×501340111051443 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

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, 406517139 + ... + 406640445.

It is an arithmetic number, because the mean of its divisors is an integer number (1010583353070).

Almost surely, 250134011105144 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 50134011105144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64677334596480).

50134011105144 is an abundant number, since it is smaller than the sum of its proper divisors (79220658087816).

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

50134011105144 is a wasteful number, since it uses less digits than its factorization.

50134011105144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125597 (or 125593 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 50134011105144 its reverse (44150111043105), we get a palindrome (94284122148249).

The spelling of 50134011105144 in words is "fifty trillion, one hundred thirty-four billion, eleven million, one hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 227 296 444 454 681 888 908 1362 1816 2017 2724 4034 5448 6051 8068 8399 12102 16136 16798 24204 25197 33596 48408 50394 67192 74629 100788 123307 149258 201576 223887 246614 298516 369921 447774 457859 493228 597032 739842 895548 915718 986456 1373577 1479684 1791096 1831436 2747154 2959368 3662872 4562359 5494308 9124718 10988616 13687077 16940783 18249436 27374154 27990689 33881566 36498872 50822349 54748308 55981378 67763132 83972067 101644698 109496616 111962756 135526264 167944134 203289396 223925512 248710219 335888268 406578792 497420438 671776536 746130657 994840876 1035655493 1492261314 1989681752 2071310986 2984522628 3106966479 4142621972 5969045256 6213932958 8285243944 9202278103 12427865916 18404556206 24855731832 27606834309 36809112412 55213668618 56457219713 73618224824 110427337236 112914439426 169371659139 220854674472 225828878852 338743318278 451657757704 677486636556 1354973273112 2088917129381 4177834258762 6266751388143 8355668517524 12533502776286 16711337035048 25067005552572 50134011105144