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13144412414034 = 23211219317635987
BaseRepresentation
bin1011111101000110110000…
…0010000110000001010010
31201112121000200221021011200
42333101230002012001102
53210324224034222114
643542243143452030
72524436536021506
oct277215402060122
951477020837150
1013144412414034
114208572151900
121583585157016
13744688738995
1433629b680306
1517bdb2945409
hexbf46c086052

13144412414034 has 72 divisors (see below), whose sum is σ = 32951557395120. Its totient is φ = 3773515513680.

The previous prime is 13144412414033. The next prime is 13144412414039. The reversal of 13144412414034 is 43041421444131.

13144412414034 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 4 + 1 + 241 + 403 + 4 = 666.

It is a super-2 number, since 2×131444124140342 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13144412414034.

It is not an unprimeable number, because it can be changed into a prime (13144412414033) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158776612 + ... + 158859375.

Almost surely, 213144412414034 is an apocalyptic number.

13144412414034 is an abundant number, since it is smaller than the sum of its proper divisors (19807144981086).

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

13144412414034 is a wasteful number, since it uses less digits than its factorization.

13144412414034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317636036 (or 317636022 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 13144412414034 its reverse (43041421444131), we get a palindrome (56185833858165).

The spelling of 13144412414034 in words is "thirteen trillion, one hundred forty-four billion, four hundred twelve million, four hundred fourteen thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 121 171 198 209 242 342 363 418 627 726 1089 1254 1881 2178 2299 3762 4598 6897 13794 20691 41382 317635987 635271974 952907961 1905815922 2858723883 3493995857 5717447766 6035083753 6987991714 10481987571 12070167506 18105251259 20963975142 31445962713 36210502518 38433954427 54315753777 62891925426 66385921283 76867908854 108631507554 115301863281 132771842566 199157763849 230603726562 345905589843 398315527698 597473291547 691811179686 730245134113 1194946583094 1460490268226 2190735402339 4381470804678 6572206207017 13144412414034