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10042431140334 = 23196110931321247
BaseRepresentation
bin1001001000100010111110…
…0010100111000111101110
31022120001021021220111220110
42102020233202213013232
52304013344332442314
633205232411400450
72054353543156635
oct222105742470756
938501237814813
1010042431140334
113221a7563384a
121162359a53126
1357acc6aaa758
1426a0b054451c
151263600a2a59
hex9222f8a71ee

10042431140334 has 64 divisors (see below), whose sum is σ = 21508226242560. Its totient is φ = 3116449365120.

The previous prime is 10042431140321. The next prime is 10042431140351. The reversal of 10042431140334 is 43304113424001.

10042431140334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6940099 + ... + 8261345.

It is an arithmetic number, because the mean of its divisors is an integer number (336066035040).

Almost surely, 210042431140334 is an apocalyptic number.

10042431140334 is an abundant number, since it is smaller than the sum of its proper divisors (11465795102226).

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

10042431140334 is a wasteful number, since it uses less digits than its factorization.

10042431140334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322425.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10042431140334 its reverse (43304113424001), we get a palindrome (53346544564335).

The spelling of 10042431140334 in words is "ten trillion, forty-two billion, four hundred thirty-one million, one hundred forty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 19 38 57 61 114 122 183 366 1093 1159 2186 2318 3279 3477 6558 6954 20767 41534 62301 66673 124602 133346 200019 400038 1266787 1321247 2533574 2642494 3800361 3963741 7600722 7927482 25103693 50207386 75311079 80596067 150622158 161192134 241788201 483576402 1444122971 1531325273 2888245942 3062650546 4332368913 4593975819 8664737826 9187951638 27438336449 54876672898 82315009347 88091501231 164630018694 176183002462 264274503693 528549007386 1673738523389 3347477046778 5021215570167 10042431140334