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10314112044042 = 23219109997327743
BaseRepresentation
bin1001011000010111000011…
…1111000000110000001010
31100112000112012110101200100
42112011300333000300022
52322441300140402132
633534123200150230
72113112211562332
oct226056077006012
940460465411610
1010314112044042
1133172103a6934
1211a6b3b308376
1359a802865841
142792c45920c2
1512d4614b837c
hex96170fc0c0a

10314112044042 has 96 divisors (see below), whose sum is σ = 23742460684800. Its totient is φ = 3226766564736.

The previous prime is 10314112044017. The next prime is 10314112044053. The reversal of 10314112044042 is 24044021141301.

10314112044042 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 411 + 204 + 4 + 0 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10314112043997 and 10314112044015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371759623 + ... + 371787365.

It is an arithmetic number, because the mean of its divisors is an integer number (247317298800).

Almost surely, 210314112044042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10314112044042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11871230342400).

10314112044042 is an abundant number, since it is smaller than the sum of its proper divisors (13428348640758).

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

10314112044042 is a wasteful number, since it uses less digits than its factorization.

10314112044042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37852 (or 37849 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10314112044042 its reverse (24044021141301), we get a palindrome (34358133185343).

The spelling of 10314112044042 in words is "ten trillion, three hundred fourteen billion, one hundred twelve million, forty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 109 114 171 218 327 342 654 981 1962 2071 4142 6213 9973 12426 18639 19946 27743 29919 37278 55486 59838 83229 89757 166458 179514 189487 249687 378974 499374 527117 568461 1054234 1087057 1136922 1581351 1705383 2174114 3023987 3162702 3261171 3410766 4744053 6047974 6522342 9071961 9488106 9783513 18143922 19567026 20654083 27215883 41308166 54431766 57455753 61962249 114911506 123924498 172367259 185886747 276680939 344734518 371773494 517101777 553361878 830042817 1034203554 1660085634 2490128451 4980256902 5256937841 10513875682 15770813523 30158222351 31541627046 47312440569 60316444702 90474667053 94624881138 180949334106 271424001159 542848002318 573006224669 1146012449338 1719018674007 3438037348014 5157056022021 10314112044042