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13245135144 = 23319315915881
BaseRepresentation
bin11000101010111100…
…01011100100101000
31021012002001120122220
430111132023210220
5204111223311034
610030145114040
7646140535233
oct142536134450
937162046586
1013245135144
11568759608a
122697928920
1313310ccc97
148d913a41a
15527c24749
hex31578b928

13245135144 has 128 divisors (see below), whose sum is σ = 36592128000. Its totient is φ = 3978892800.

The previous prime is 13245135139. The next prime is 13245135173. The reversal of 13245135144 is 44153154231.

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, 826084 + ... + 841964.

It is an arithmetic number, because the mean of its divisors is an integer number (285876000).

Almost surely, 213245135144 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 13245135144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18296064000).

13245135144 is an abundant number, since it is smaller than the sum of its proper divisors (23346992856).

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

13245135144 is a wasteful number, since it uses less digits than its factorization.

13245135144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15999 (or 15995 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

Adding to 13245135144 its reverse (44153154231), we get a palindrome (57398289375).

The spelling of 13245135144 in words is "thirteen billion, two hundred forty-five million, one hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 59 62 76 93 114 118 124 152 177 186 228 236 248 354 372 456 472 589 708 744 1121 1178 1416 1767 1829 2242 2356 3363 3534 3658 4484 4712 5487 6726 7068 7316 8968 10974 13452 14136 14632 15881 21948 26904 31762 34751 43896 47643 63524 69502 95286 104253 127048 139004 190572 208506 278008 301739 381144 417012 492311 603478 834024 905217 936979 984622 1206956 1476933 1810434 1873958 1969244 2413912 2810937 2953866 3620868 3747916 3938488 5621874 5907732 7241736 7495832 9353909 11243748 11815464 17802601 18707818 22487496 28061727 29046349 35605202 37415636 53407803 56123454 58092698 71210404 74831272 87139047 106815606 112246908 116185396 142420808 174278094 213631212 224493816 232370792 348556188 427262424 551880631 697112376 1103761262 1655641893 2207522524 3311283786 4415045048 6622567572 13245135144