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13141002412224 = 263253003430433
BaseRepresentation
bin1011111100111010000011…
…0001111110000011000000
31201112021020001102020002100
42333032200301332003000
53210300233104142344
643540520531350400
72524256201336331
oct277164061760300
951467201366070
1013141002412224
114207082304a95
121582993152400
1374426412052b
1433605682c288
1517bc633b4569
hexbf3a0c7e0c0

13141002412224 has 84 divisors (see below), whose sum is σ = 37667108888136. Its totient is φ = 4380241317888.

The previous prime is 13141002412211. The next prime is 13141002412229. The reversal of 13141002412224 is 42221420014131.

13141002412224 is a `hidden beast` number, since 1 + 3 + 1 + 410 + 0 + 24 + 1 + 2 + 224 = 666.

It is not an unprimeable number, because it can be changed into a prime (13141002412229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30314512 + ... + 30744944.

It is an arithmetic number, because the mean of its divisors is an integer number (448417962954).

Almost surely, 213141002412224 is an apocalyptic number.

It is an amenable number.

13141002412224 is an abundant number, since it is smaller than the sum of its proper divisors (24526106475912).

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

13141002412224 is a wasteful number, since it uses less digits than its factorization.

13141002412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483454 (or 483441 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 13141002412224 its reverse (42221420014131), we get a palindrome (55362422426355).

The spelling of 13141002412224 in words is "thirteen trillion, one hundred forty-one billion, two million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 53003 106006 159009 212012 318018 424024 430433 477027 636036 848048 860866 954054 1272072 1291299 1696096 1721732 1908108 2544144 2582598 3392192 3443464 3816216 3873897 5088288 5165196 6886928 7632432 7747794 10176576 10330392 13773856 15264864 15495588 20660784 27547712 30529728 30991176 41321568 61982352 82643136 123964704 247929408 22814240299 45628480598 68442720897 91256961196 136885441794 182513922392 205328162691 273770883588 365027844784 410656325382 547541767176 730055689568 821312650764 1095083534352 1460111379136 1642625301528 2190167068704 3285250603056 4380334137408 6570501206112 13141002412224