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42405544335 = 35711311184347
BaseRepresentation
bin100111011111100100…
…010100000110001111
311001110022111211222010
4213133210110012033
51143321304404320
631251505552303
73030564115410
oct473744240617
9131408454863
1042405544335
1116a90908110
128275645693
133cca55c98b
1420a3c71807
151182ca5ae0
hex9df91418f

42405544335 has 64 divisors (see below), whose sum is σ = 87319609344. Its totient is φ = 17054582400.

The previous prime is 42405544333. The next prime is 42405544339. The reversal of 42405544335 is 53344550424.

It is not a de Polignac number, because 42405544335 - 21 = 42405544333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42405544293 and 42405544302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42405544331) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 556369 + ... + 627978.

It is an arithmetic number, because the mean of its divisors is an integer number (1364368896).

Almost surely, 242405544335 is an apocalyptic number.

42405544335 is an abundant number, since it is smaller than the sum of its proper divisors (44914065009).

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

42405544335 is a wasteful number, since it uses less digits than its factorization.

42405544335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184404.

The product of its (nonzero) digits is 576000, while the sum is 39.

The spelling of 42405544335 in words is "forty-two billion, four hundred five million, five hundred forty-four thousand, three hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 31 33 35 55 77 93 105 155 165 217 231 341 385 465 651 1023 1085 1155 1705 2387 3255 5115 7161 11935 35805 1184347 3553041 5921735 8290429 13027817 17765205 24871287 36714757 39083451 41452145 65139085 91194719 110144271 124356435 183573785 195417255 257003299 273584157 403862327 455973595 550721355 771009897 1211586981 1285016495 1367920785 2019311635 2827036289 3855049485 6057934905 8481108867 14135181445 42405544335