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13142010024 = 23331113425473
BaseRepresentation
bin11000011110101001…
…10010100010101000
31020220220000021121000
430033110302202220
5203403323310044
610012022515000
7643446146013
oct141724624250
936826007530
1013142010024
11563435a710
122669295a60
131315933bc0
148c957437a
1551db53d69
hex30f5328a8

13142010024 has 128 divisors (see below), whose sum is σ = 42887779200. Its totient is φ = 3676078080.

The previous prime is 13142010023. The next prime is 13142010053. The reversal of 13142010024 is 42001024131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13142009979 and 13142010006.

It is not an unprimeable number, because it can be changed into a prime (13142010023) 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, 181849 + ... + 243624.

It is an arithmetic number, because the mean of its divisors is an integer number (335060775).

Almost surely, 213142010024 is an apocalyptic number.

It is an amenable number.

13142010024 is an abundant number, since it is smaller than the sum of its proper divisors (29745769176).

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

13142010024 is a wasteful number, since it uses less digits than its factorization.

13142010024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425512 (or 425502 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13142010024 its reverse (42001024131), we get a palindrome (55143034155).

The spelling of 13142010024 in words is "thirteen billion, one hundred forty-two million, ten thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 286 297 312 351 396 429 468 572 594 702 792 858 936 1144 1188 1287 1404 1716 2376 2574 2808 3432 3861 5148 7722 10296 15444 30888 425473 850946 1276419 1701892 2552838 3403784 3829257 4680203 5105676 5531149 7658514 9360406 10211352 11062298 11487771 14040609 15317028 16593447 18720812 22124596 22975542 28081218 30634056 33186894 37441624 42121827 44249192 45951084 49780341 56162436 60842639 66373788 84243654 91902168 99560682 112324872 121685278 126365481 132747576 149341023 168487308 182527917 199121364 243370556 252730962 298682046 336974616 365055834 398242728 486741112 505461924 547583751 597364092 730111668 1010923848 1095167502 1194728184 1460223336 1642751253 2190335004 3285502506 4380670008 6571005012 13142010024