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138762932140 = 225717271215143
BaseRepresentation
bin1000000100111011101…
…0100100111110101100
3111021011121221022200001
42001032322210332230
54233141302312030
6143425151114044
713011450314320
oct2011672447654
9437147838601
10138762932140
115393806a808
1222a87512924
13101154bc791
146a0520d980
153922312cca
hex204eea4fac

138762932140 has 96 divisors (see below), whose sum is σ = 353923928064. Its totient is φ = 44611845120.

The previous prime is 138762932137. The next prime is 138762932153. The reversal of 138762932140 is 41239267831.

138762932140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537409 + ... + 752551.

It is an arithmetic number, because the mean of its divisors is an integer number (3686707584).

Almost surely, 2138762932140 is an apocalyptic number.

138762932140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138762932140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176961964032).

138762932140 is an abundant number, since it is smaller than the sum of its proper divisors (215160995924).

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

138762932140 is a wasteful number, since it uses less digits than its factorization.

138762932140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215447 (or 215445 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 138762932140 in words is "one hundred thirty-eight billion, seven hundred sixty-two million, nine hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 271 340 476 542 595 1084 1190 1355 1897 2380 2710 3794 4607 5420 7588 9214 9485 18428 18970 23035 32249 37940 46070 64498 92140 128996 161245 215143 322490 430286 644980 860572 1075715 1506001 2151430 3012002 3657431 4302860 6024004 7314862 7530005 14629724 15060010 18287155 25602017 30120020 36574310 51204034 58303753 73148620 102408068 116607506 128010085 233215012 256020170 291518765 408126271 512040340 583037530 816252542 991163801 1166075060 1632505084 1982327602 2040631355 3964655204 4081262710 4955819005 6938146607 8162525420 9911638010 13876293214 19823276020 27752586428 34690733035 69381466070 138762932140