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126423404601440 = 25523179191922827
BaseRepresentation
bin11100101111101100111110…
…000111110110000001100000
3121120121221220102202220020212
4130233230332013312001200
5113032310113034221230
61124514035453553252
735425534551344102
oct3457547607660140
9546557812686225
10126423404601440
1137311957056481
12122198524a5828
1355708a2c49a9b
142330cd5551572
15e93869ab8895
hex72fb3e1f6060

126423404601440 has 96 divisors (see below), whose sum is σ = 313402301210880. Its totient is φ = 48100466343424.

The previous prime is 126423404601409. The next prime is 126423404601449. The reversal of 126423404601440 is 44106404324621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126423404601449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95302694 + ... + 96620133.

It is an arithmetic number, because the mean of its divisors is an integer number (3264607304280).

Almost surely, 2126423404601440 is an apocalyptic number.

126423404601440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126423404601440 is an abundant number, since it is smaller than the sum of its proper divisors (186978896609440).

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

126423404601440 is a wasteful number, since it uses less digits than its factorization.

126423404601440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191923044 (or 191923036 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 41.

The spelling of 126423404601440 in words is "one hundred twenty-six trillion, four hundred twenty-three billion, four hundred four million, six hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 179 184 230 358 368 460 716 736 895 920 1432 1790 1840 2864 3580 3680 4117 5728 7160 8234 14320 16468 20585 28640 32936 41170 65872 82340 131744 164680 329360 658720 191922827 383845654 767691308 959614135 1535382616 1919228270 3070765232 3838456540 4414225021 6141530464 7676913080 8828450042 15353826160 17656900084 22071125105 30707652320 34354186033 35313800168 44142250210 68708372066 70627600336 88284500420 137416744132 141255200672 171770930165 176569000840 274833488264 343541860330 353138001680 549666976528 687083720660 706276003360 790146278759 1099333953056 1374167441320 1580292557518 2748334882640 3160585115036 3950731393795 5496669765280 6321170230072 7901462787590 12642340460144 15802925575180 25284680920288 31605851150360 63211702300720 126423404601440