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125056162066440 = 233511101938015017
BaseRepresentation
bin11100011011110011101000…
…000111011111000000001000
3121101210020210221201202000110
4130123303220013133000020
5112342410004442111230
61121550001401234320
735225003163504333
oct3433635007370010
9541706727652013
10125056162066440
1136935025308510
121203887b7929a0
1354a198ca918c7
1422c4a716a161a
15e6cee76b94b0
hex71bce81df008

125056162066440 has 128 divisors (see below), whose sum is σ = 413326937531520. Its totient is φ = 30016480512000.

The previous prime is 125056162066399. The next prime is 125056162066447. The reversal of 125056162066440 is 44660261650521.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 125056162066440.

It is not an unprimeable number, because it can be changed into a prime (125056162066447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468874189 + ... + 469140828.

It is an arithmetic number, because the mean of its divisors is an integer number (3229116699465).

Almost surely, 2125056162066440 is an apocalyptic number.

125056162066440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125056162066440 is an abundant number, since it is smaller than the sum of its proper divisors (288270775465080).

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

125056162066440 is a wasteful number, since it uses less digits than its factorization.

125056162066440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938015143 (or 938015139 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 125056162066440 in words is "one hundred twenty-five trillion, fifty-six billion, one hundred sixty-two million, sixty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 8888 11110 12120 13332 16665 22220 26664 33330 44440 66660 133320 938015017 1876030034 2814045051 3752060068 4690075085 5628090102 7504120136 9380150170 10318165187 11256180204 14070225255 18760300340 20636330374 22512360408 28140450510 30954495561 37520600680 41272660748 51590825935 56280901020 61908991122 82545321496 94739516717 103181651870 112561802040 123817982244 154772477805 189479033434 206363303740 247635964488 284218550151 309544955610 378958066868 412726607480 473697583585 568437100302 619089911220 757916133736 947395167170 1042134683887 1136874200604 1238179822440 1421092750755 1894790334340 2084269367774 2273748401208 2842185501510 3126404051661 3789580668680 4168538735548 5210673419435 5684371003020 6252808103322 8337077471096 10421346838870 11368742006040 12505616206644 15632020258305 20842693677740 25011232413288 31264040516610 41685387355480 62528081033220 125056162066440