Search a number
-
+
1310424042114 = 234113147949523
BaseRepresentation
bin10011000100011011010…
…111000000101010000010
311122021102201000122210000
4103010123113000222002
5132432222023321424
62442000035020430
7163450346400615
oct23043327005202
94567381018700
101310424042114
11465825233330
12191b7643a716
13967598c33b5
14475d3b7017c
15241491453c9
hex1311b5c0a82

1310424042114 has 160 divisors (see below), whose sum is σ = 3313559715840. Its totient is φ = 383478559200.

The previous prime is 1310424042091. The next prime is 1310424042133. The reversal of 1310424042114 is 4112404240131.

1310424042114 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 42 + 404 + 211 + 4 = 666.

It is a super-2 number, since 2×13104240421142 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26436157 + ... + 26485679.

It is an arithmetic number, because the mean of its divisors is an integer number (20709748224).

Almost surely, 21310424042114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310424042114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656779857920).

1310424042114 is an abundant number, since it is smaller than the sum of its proper divisors (2003135673726).

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

1310424042114 is a wasteful number, since it uses less digits than its factorization.

1310424042114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50058 (or 50049 counting only the distinct ones).

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

Adding to 1310424042114 its reverse (4112404240131), we get a palindrome (5422828282245).

The spelling of 1310424042114 in words is "one trillion, three hundred ten billion, four hundred twenty-four million, forty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 81 93 99 162 186 198 279 297 341 479 558 594 682 837 891 958 1023 1437 1674 1782 2046 2511 2874 3069 4311 5022 5269 6138 8622 9207 10538 12933 14849 15807 18414 25866 27621 29698 31614 38799 44547 47421 49523 55242 77598 89094 94842 99046 133641 142263 148569 163339 267282 284526 297138 326678 400923 426789 445707 490017 544753 801846 853578 891414 980034 1089506 1202769 1337121 1470051 1535213 1634259 2405538 2674242 2940102 3070426 3268518 4011363 4410153 4605639 4902777 8022726 8820306 9211278 9805554 13230459 13816917 14708331 16887343 23721517 26460918 27633834 29416662 33774686 41450751 44124993 47443034 50662029 71164551 82901502 88249986 101324058 124352253 142329102 151986087 213493653 248704506 260936687 303972174 426987306 455958261 521873374 640480959 735367027 782810061 911916522 1280961918 1367874783 1470734054 1565620122 1921442877 2206101081 2348430183 2735749566 3842885754 4412202162 4696860366 6618303243 7045290549 8089037297 13236606486 14090581098 16178074594 19854909729 21135871647 24267111891 39709819458 42271743294 48534223782 59564729187 72801335673 119129458374 145602671346 218404007019 436808014038 655212021057 1310424042114