Search a number
-
+
13141054155064 = 231117311811565519
BaseRepresentation
bin1011111100111010001111…
…0111010110100100111000
31201112021100122210000220211
42333032203313112210320
53210300334330430224
643540530020400504
72524260400213153
oct277164367264470
951467318700824
1013141054155064
1142070a9536170
1215829a8546134
13744271a68cb4
1433605d65ac9a
1517bc67bd5894
hexbf3a3dd6938

13141054155064 has 128 divisors (see below), whose sum is σ = 29540986675200. Its totient is φ = 5410430208000.

The previous prime is 13141054155037. The next prime is 13141054155083. The reversal of 13141054155064 is 46055145014131.

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, 7611297 + ... + 9176815.

It is an arithmetic number, because the mean of its divisors is an integer number (230788958400).

Almost surely, 213141054155064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13141054155064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14770493337600).

13141054155064 is an abundant number, since it is smaller than the sum of its proper divisors (16399932520136).

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

13141054155064 is a wasteful number, since it uses less digits than its factorization.

13141054155064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565765 (or 1565761 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

Adding to 13141054155064 its reverse (46055145014131), we get a palindrome (59196199169195).

The spelling of 13141054155064 in words is "thirteen trillion, one hundred forty-one billion, fifty-four million, one hundred fifty-five thousand, sixty-four".

Divisors: 1 2 4 8 11 17 22 31 34 44 62 68 88 124 136 181 187 248 341 362 374 527 682 724 748 1054 1364 1448 1496 1991 2108 2728 3077 3982 4216 5611 5797 6154 7964 11222 11594 12308 15928 22444 23188 24616 33847 44888 46376 61721 67694 95387 123442 135388 190774 246884 270776 381548 493768 763096 1049257 1565519 2098514 3131038 4197028 6262076 8394056 12524152 17220709 26613823 34441418 48531089 53227646 68882836 97062178 106455292 137765672 194124356 212910584 283358939 292752053 388248712 533841979 566717878 585504106 825028513 1067683958 1133435756 1171008212 1650057026 2135367916 2266871512 2342016424 3116948329 3300114052 4270735832 4817101963 6233896658 6600228104 8784127109 9075313643 9634203926 12467793316 17568254218 18150627286 19268407852 24935586632 35136508436 36301254572 38536815704 52988121593 70273016872 72602509144 96625398199 105976243186 149330160853 193250796398 211952486372 298660321706 386501592796 423904972744 597320643412 773003185592 1194641286824 1642631769383 3285263538766 6570527077532 13141054155064