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13056544231340 = 22537151832914029
BaseRepresentation
bin1011110111111111011010…
…1011100100111110101100
31201020012020000110002121212
42331333312223210332230
53202404300310400330
643434032115413552
72515206223546661
oct275776653447654
951205200402555
1013056544231340
1141842819206a5
12156a5422b42b8
137392c449477c
14331d23951a68
1517996d818295
hexbdff6ae4fac

13056544231340 has 96 divisors (see below), whose sum is σ = 28351702780800. Its totient is φ = 5046847948800.

The previous prime is 13056544231307. The next prime is 13056544231343. The reversal of 13056544231340 is 4313244565031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13056544231343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 930675446 + ... + 930689474.

It is an arithmetic number, because the mean of its divisors is an integer number (295330237300).

Almost surely, 213056544231340 is an apocalyptic number.

13056544231340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13056544231340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14175851390400).

13056544231340 is an abundant number, since it is smaller than the sum of its proper divisors (15295158549460).

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

13056544231340 is a wasteful number, since it uses less digits than its factorization.

13056544231340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22555 (or 22553 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 41.

Adding to 13056544231340 its reverse (4313244565031), we get a palindrome (17369788796371).

The spelling of 13056544231340 in words is "thirteen trillion, fifty-six billion, five hundred forty-four million, two hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 151 185 302 370 604 740 755 1510 3020 5587 8329 11174 14029 16658 22348 27935 28058 33316 41645 55870 56116 70145 83290 111740 140290 166580 280580 308173 519073 616346 1038146 1232692 1257679 1540865 2076292 2118379 2515358 2595365 3081730 4236758 5030716 5190730 6163460 6288395 8473516 10381460 10591895 12576790 21183790 25153580 42367580 46534123 78380023 93068246 116847541 156760046 186136492 232670615 233695082 313520092 391900115 465341230 467390164 584237705 783800230 930682460 1168475410 1567600460 2336950820 4323359017 8646718034 17293436068 17643978691 21616795085 35287957382 43233590170 70575914764 86467180340 88219893455 176439786910 352879573820 652827211567 1305654423134 2611308846268 3264136057835 6528272115670 13056544231340