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140557508100 = 223252124972
BaseRepresentation
bin1000001011100111100…
…0010101111000000100
3111102210200202020002100
42002321320111320010
54300330210224400
6144323215112100
713104101051232
oct2027170257004
9442720666070
10140557508100
115467905a239
12232a8512630
1310340230a49
146b356b3952
1539c9b49100
hex20b9e15e04

140557508100 has 81 divisors (see below), whose sum is σ = 440604957247. Its totient is φ = 37479002880.

The previous prime is 140557508093. The next prime is 140557508129. The reversal of 140557508100 is 1805755041.

The square root of 140557508100 is 374910.

It is a perfect power (a square), and thus also a powerful number.

140557508100 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 575 + 0 + 81 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1619418564 + 138938089536 = 40242^2 + 372744^2 .

It is a super-2 number, since 2×1405575081002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11241052 + ... + 11253548.

Almost surely, 2140557508100 is an apocalyptic number.

140557508100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

140557508100 is the 374910-th square number.

It is an amenable number.

140557508100 is an abundant number, since it is smaller than the sum of its proper divisors (300047449147).

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

140557508100 is an equidigital number, since it uses as much as digits as its factorization.

140557508100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25014 (or 12507 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

Multiplying 140557508100 by its sum of digits (36), we get a square (5060070291600 = 22494602).

140557508100 divided by its sum of digits (36) gives a square (3904375225 = 624852).

The spelling of 140557508100 in words is "one hundred forty billion, five hundred fifty-seven million, five hundred eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 12497 24994 37491 49988 62485 74982 112473 124970 149964 187455 224946 249940 312425 374910 449892 562365 624850 749820 937275 1124730 1249700 1874550 2249460 2811825 3749100 5623650 11247300 156175009 312350018 468525027 624700036 780875045 937050054 1405575081 1561750090 1874100108 2342625135 2811150162 3123500180 3904375225 4685250270 5622300324 7027875405 7808750450 9370500540 11713125675 14055750810 15617500900 23426251350 28111501620 35139377025 46852502700 70278754050 140557508100