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138245121490 = 25721731695237
BaseRepresentation
bin1000000011000000001…
…1010010010111010010
3111012211112120210222211
42000300003102113102
54231111222341430
6143301532422334
712662562100300
oct2006003222722
9435745523884
10138245121490
11536a1848a23
12229620179aa
131006213c948
14699653d270
1538e1b2c72a
hex20300d25d2

138245121490 has 96 divisors (see below), whose sum is σ = 306651167280. Its totient is φ = 44587597824.

The previous prime is 138245121481. The next prime is 138245121517. The reversal of 138245121490 is 94121542831.

It can be written as a sum of positive squares in 8 ways, for example, as 123496719241 + 14748402249 = 351421^2 + 121443^2 .

It is a super-2 number, since 2×1382451214902 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26395152 + ... + 26400388.

Almost surely, 2138245121490 is an apocalyptic number.

138245121490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138245121490 is an abundant number, since it is smaller than the sum of its proper divisors (168406045790).

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

138245121490 is a wasteful number, since it uses less digits than its factorization.

138245121490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8444 (or 8437 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 138245121490 in words is "one hundred thirty-eight billion, two hundred forty-five million, one hundred twenty-one thousand, four hundred ninety".

Divisors: 1 2 5 7 10 14 17 34 35 49 70 85 98 119 170 238 245 490 595 833 1190 1666 3169 4165 5237 6338 8330 10474 15845 22183 26185 31690 36659 44366 52370 53873 73318 89029 107746 110915 155281 178058 183295 221830 256613 269365 310562 366590 377111 445145 513226 538730 623203 754222 776405 890290 1246406 1283065 1552810 1885555 2566130 2639777 3116015 3771110 4362421 5279554 6232030 8724842 13198885 16596053 21812105 26397770 33192106 43624210 82980265 116172371 165960530 232344742 282132901 564265802 580861855 813206597 1161723710 1410664505 1626413194 1974930307 2821329010 3949860614 4066032985 8132065970 9874651535 13824512149 19749303070 27649024298 69122560745 138245121490