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42114000431 = 1723137863911
BaseRepresentation
bin100111001110001100…
…001010011000101111
311000200222220212220202
4213032030022120233
51142222141003211
631202533104115
73020424045236
oct471614123057
9130628825822
1042114000431
1116951289938
1281b3a8803b
133c82032aa9
14207725db1d
1511673b753b
hex9ce30a62f

42114000431 has 32 divisors (see below), whose sum is σ = 46975500288. Its totient is φ = 37551754240.

The previous prime is 42114000407. The next prime is 42114000503. The reversal of 42114000431 is 13400041124.

42114000431 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 42114000431 - 218 = 42113738287 is a prime.

It is a super-2 number, since 2×421140004312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42114000031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46227866 + ... + 46228776.

It is an arithmetic number, because the mean of its divisors is an integer number (1467984384).

Almost surely, 242114000431 is an apocalyptic number.

42114000431 is a deficient number, since it is larger than the sum of its proper divisors (4861499857).

42114000431 is a wasteful number, since it uses less digits than its factorization.

42114000431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 42114000431 its reverse (13400041124), we get a palindrome (55514041555).

The spelling of 42114000431 in words is "forty-two billion, one hundred fourteen million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 17 23 137 391 863 911 2329 3151 14671 15487 19849 20953 53567 118231 124807 337433 356201 786193 2009927 2121719 2719313 2870561 13365281 18082439 46228321 48799537 107708441 307401463 1831043497 2477294143 42114000431