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42404242141125 = 325337692659681
BaseRepresentation
bin10011010010001000000011…
…10010100010111111000101
312120010210202112200022220100
421221010001302202333011
521024222341442004000
6230104123453154313
711634414436050144
oct1151040162427705
9176123675608810
1042404242141125
11125695a1237707
12490a286a8b999
131a8791a2ac137
14a6853a6b375b
154d8071c48a00
hex269101ca2fc5

42404242141125 has 24 divisors (see below), whose sum is σ = 76440713835096. Its totient is φ = 22615595808000.

The previous prime is 42404242141109. The next prime is 42404242141223. The reversal of 42404242141125 is 52114124240424.

42404242141125 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 424 + 214 + 1 + 12 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 685638649089 + 41718603492036 = 828033^2 + 6458994^2 .

It is not a de Polignac number, because 42404242141125 - 24 = 42404242141109 is a prime.

It is a super-2 number, since 2×424042421411252 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42404242141125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18846328716 + ... + 18846330965.

It is an arithmetic number, because the mean of its divisors is an integer number (3185029743129).

Almost surely, 242404242141125 is an apocalyptic number.

42404242141125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42404242141125 is a deficient number, since it is larger than the sum of its proper divisors (34036471693971).

42404242141125 is a wasteful number, since it uses less digits than its factorization.

42404242141125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37692659702 (or 37692659689 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 42404242141125 its reverse (52114124240424), we get a palindrome (94518366381549).

The spelling of 42404242141125 in words is "forty-two trillion, four hundred four billion, two hundred forty-two million, one hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 37692659681 113077979043 188463298405 339233937129 565389895215 942316492025 1696169685645 2826949476075 4711582460125 8480848428225 14134747380375 42404242141125