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13044121224 = 23319314631993
BaseRepresentation
bin11000010010111110…
…10111111010001000
31020200001211000101220
430021133113322020
5203203243334344
65554204442040
7641150125641
oct141137277210
936601730356
1013044121224
115594080382
122640549320
1312cb57c334
148ba5726c8
15515269c19
hex3097d7e88

13044121224 has 128 divisors (see below), whose sum is σ = 35528294400. Its totient is φ = 3975713280.

The previous prime is 13044121187. The next prime is 13044121241. The reversal of 13044121224 is 42212144031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13044121194 and 13044121203.

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, 6543972 + ... + 6545964.

It is an arithmetic number, because the mean of its divisors is an integer number (277564800).

Almost surely, 213044121224 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 13044121224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17764147200).

13044121224 is an abundant number, since it is smaller than the sum of its proper divisors (22484173176).

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

13044121224 is a wasteful number, since it uses less digits than its factorization.

13044121224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13044121224 its reverse (42212144031), we get a palindrome (55256265255).

The spelling of 13044121224 in words is "thirteen billion, forty-four million, one hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 463 589 744 926 1178 1389 1767 1852 1993 2356 2778 3534 3704 3986 4712 5556 5979 7068 7972 8797 11112 11958 14136 14353 15944 17594 23916 26391 28706 35188 37867 43059 47832 52782 57412 61783 70376 75734 86118 105564 113601 114824 123566 151468 172236 185349 211128 227202 247132 272707 302936 344472 370698 454404 494264 545414 741396 818121 908808 922759 1090828 1173877 1482792 1636242 1845518 2181656 2347754 2768277 3272484 3521631 3691036 4695508 5536554 6544968 7043262 7382072 9391016 11073108 14086524 17532421 22146216 28173048 28605529 35064842 52597263 57211058 70129684 85816587 105194526 114422116 140259368 171633174 210389052 228844232 343266348 420778104 543505051 686532696 1087010102 1630515153 2174020204 3261030306 4348040408 6522060612 13044121224