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10144160838 = 23271912793313
BaseRepresentation
bin10010111001010001…
…11001110001000110
3222011222000202121200
421130220321301012
5131233401121323
64354332323330
7506244641640
oct113450716106
928158022550
1010144160838
1143361291a9
121b71313546
13c58823646
146c336b890
153e5887443
hex25ca39c46

10144160838 has 96 divisors (see below), whose sum is σ = 26469580800. Its totient is φ = 2742812928.

The previous prime is 10144160827. The next prime is 10144160863. The reversal of 10144160838 is 83806144101.

It is a happy number.

10144160838 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 41 + 608 + 3 + 8 = 666.

It is a congruent number.

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, 3060270 + ... + 3063582.

It is an arithmetic number, because the mean of its divisors is an integer number (275724800).

Almost surely, 210144160838 is an apocalyptic number.

10144160838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144160838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13234790400).

10144160838 is an abundant number, since it is smaller than the sum of its proper divisors (16325419962).

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

10144160838 is a wasteful number, since it uses less digits than its factorization.

10144160838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626 (or 4623 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10144160838 in words is "ten billion, one hundred forty-four million, one hundred sixty thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 1279 2394 2558 3313 3837 6626 7674 8953 9939 11511 17906 19878 23022 23191 24301 26859 29817 46382 48602 53718 59634 62947 69573 72903 80577 125894 139146 145806 161154 170107 188841 208719 218709 340214 377682 417438 437418 440629 510321 566523 881258 1020642 1133046 1321887 1530963 2643774 3061926 3965661 4237327 7931322 8474654 12711981 25423962 29661289 38135943 59322578 76271886 80509213 88983867 161018426 177967734 241527639 266951601 483055278 533903202 563564491 724582917 1127128982 1449165834 1690693473 3381386946 5072080419 10144160838