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13022400144 = 2431331673201
BaseRepresentation
bin11000010000011001…
…00000111010010000
31020121112221110200110
430020030200322100
5203132213301034
65552111121320
7640464401115
oct141014407220
936545843613
1013022400144
115582894a76
122635213240
1312c6c15720
148b771a90c
155133c8de9
hex308320e90

13022400144 has 80 divisors (see below), whose sum is σ = 37397717504. Its totient is φ = 3877632000.

The previous prime is 13022400143. The next prime is 13022400161. The reversal of 13022400144 is 44100422031.

It is a self number, because there is not a number n which added to its sum of digits gives 13022400144.

It is not an unprimeable number, because it can be changed into a prime (13022400143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317257 + ... + 355944.

Almost surely, 213022400144 is an apocalyptic number.

It is an amenable number.

13022400144 is an abundant number, since it is smaller than the sum of its proper divisors (24375317360).

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

13022400144 is a wasteful number, since it uses less digits than its factorization.

13022400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673256 (or 673250 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 13022400144 its reverse (44100422031), we get a palindrome (57122822175).

The spelling of 13022400144 in words is "thirteen billion, twenty-two million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 9672 19344 673201 1346402 2019603 2692804 4039206 5385608 8078412 8751613 10771216 16156824 17503226 20869231 26254839 32313648 35006452 41738462 52509678 62607693 70012904 83476924 105019356 125215386 140025808 166953848 210038712 250430772 271300003 333907696 420077424 500861544 542600006 813900009 1001723088 1085200012 1627800018 2170400024 3255600036 4340800048 6511200072 13022400144