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13344553524420 = 22325173428534153
BaseRepresentation
bin1100001000110000010101…
…0111110101110011000100
31202020201121212202002201200
43002030011113311303010
53222114121200240140
644214223034222500
72545053322262166
oct302140527656304
952221555662650
1013344553524420
114285436633358
1215b631bb84a30
1375a503063711
14341c463b4936
151821c8490030
hexc23055f5cc4

13344553524420 has 72 divisors (see below), whose sum is σ = 40712458766616. Its totient is φ = 3537977958912.

The previous prime is 13344553524409. The next prime is 13344553524443. The reversal of 13344553524420 is 2442535544331.

13344553524420 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 4 + 553 + 52 + 4 + 42 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 606978111744 + 12737575412676 = 779088^2 + 3568974^2 .

It is a super-2 number, since 2×133445535244202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214235937 + ... + 214298216.

It is an arithmetic number, because the mean of its divisors is an integer number (565450816203).

Almost surely, 213344553524420 is an apocalyptic number.

13344553524420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13344553524420 is an abundant number, since it is smaller than the sum of its proper divisors (27367905242196).

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

13344553524420 is a wasteful number, since it uses less digits than its factorization.

13344553524420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428534341 (or 428534336 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 13344553524420 in words is "thirteen trillion, three hundred forty-four billion, five hundred fifty-three million, five hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 519 692 865 1038 1557 1730 2076 2595 3114 3460 5190 6228 7785 10380 15570 31140 428534153 857068306 1285602459 1714136612 2142670765 2571204918 3856807377 4285341530 5142409836 6428012295 7713614754 8570683060 12856024590 15427229508 19284036885 25712049180 38568073770 74136408469 77136147540 148272816938 222409225407 296545633876 370682042345 444818450814 667227676221 741364084690 889636901628 1112046127035 1334455352442 1482728169380 2224092254070 2668910704884 3336138381105 4448184508140 6672276762210 13344553524420