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138053441025 = 325210735915973
BaseRepresentation
bin1000000010010010100…
…0000101011000000001
3111012100011220102211100
42000210220011120001
54230213140103100
6143230524205013
712655043613153
oct2004450053001
9435304812740
10138053441025
1153603628615
1222909999769
1310031509356
146978cc4ad3
1538cedb8400
hex2024a05601

138053441025 has 72 divisors (see below), whose sum is σ = 250290855360. Its totient is φ = 72732654720.

The previous prime is 138053441023. The next prime is 138053441027. The reversal of 138053441025 is 520144350831.

138053441025 is a `hidden beast` number, since 1 + 3 + 80 + 534 + 41 + 0 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (138053441023) and next prime (138053441027).

It is not a de Polignac number, because 138053441025 - 21 = 138053441023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138053441023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8634939 + ... + 8650911.

It is an arithmetic number, because the mean of its divisors is an integer number (3476261880).

Almost surely, 2138053441025 is an apocalyptic number.

138053441025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138053441025 is a deficient number, since it is larger than the sum of its proper divisors (112237414335).

138053441025 is a wasteful number, since it uses less digits than its factorization.

138053441025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16455 (or 16447 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 138053441025 its reverse (520144350831), we get a palindrome (658197791856).

The spelling of 138053441025 in words is "one hundred thirty-eight billion, fifty-three million, four hundred forty-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 107 225 321 359 535 963 1077 1605 1795 2675 3231 4815 5385 8025 8975 15973 16155 24075 26925 38413 47919 79865 80775 115239 143757 192065 239595 345717 399325 576195 718785 960325 1197975 1709111 1728585 2880975 3593925 5127333 5734307 8545555 8642925 15381999 17202921 25636665 28671535 42727775 51608763 76909995 86014605 128183325 143357675 258043815 384549975 430073025 613570849 1290219075 1840712547 3067854245 5522137641 9203562735 15339271225 27610688205 46017813675 138053441025