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42350053053 = 37211296191459
BaseRepresentation
bin100111011100010000…
…101000011010111101
311001022110002121020110
4213130100220122331
51143213103144203
631242204340233
73026321340300
oct473420503275
9131273077213
1042350053053
1116a62556750
12825ab44679
133cbbc00cb9
14209a748b37
15117ce93d03
hex9dc4286bd

42350053053 has 96 divisors (see below), whose sum is σ = 74298816000. Its totient is φ = 21192554880.

The previous prime is 42350053037. The next prime is 42350053087. The reversal of 42350053053 is 35035005324.

42350053053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42350053053 - 24 = 42350053037 is a prime.

It is a super-3 number, since 3×423500530533 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42350053053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42350053003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29026038 + ... + 29027496.

It is an arithmetic number, because the mean of its divisors is an integer number (773946000).

Almost surely, 242350053053 is an apocalyptic number.

It is an amenable number.

42350053053 is a deficient number, since it is larger than the sum of its proper divisors (31948762947).

42350053053 is a wasteful number, since it uses less digits than its factorization.

42350053053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

Adding to 42350053053 its reverse (35035005324), we get a palindrome (77385058377).

The spelling of 42350053053 in words is "forty-two billion, three hundred fifty million, fifty-three thousand, fifty-three".

Divisors: 1 3 7 11 21 29 33 49 77 87 147 203 231 319 539 609 619 957 1421 1459 1617 1857 2233 4263 4333 4377 6699 6809 10213 12999 15631 16049 17951 20427 30331 30639 42311 46893 47663 48147 53853 71491 90993 112343 125657 126933 142989 197461 214473 296177 333641 337029 376971 465421 592383 786401 879599 888531 903121 1000923 1382227 1396263 2073239 2359203 2638797 2709363 3257947 4146681 6219717 6321847 9675589 9773841 9934331 18965541 22805629 26190509 29026767 29802993 44252929 68416887 69540317 78571527 132758787 183333563 208620951 288095599 486782219 550000689 864286797 1283334941 1460346657 2016669193 3850004823 6050007579 14116684351 42350053053