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13341480800 = 2552196114389
BaseRepresentation
bin11000110110011011…
…01101011101100000
31021102210100110001112
430123031231131200
5204310404341200
610043510122452
7651420500324
oct143315553540
937383313045
1013341480800
115726a10a9a
122704050428
13134806434b
14907c59984
15531406535
hex31b36d760

13341480800 has 144 divisors (see below), whose sum is σ = 34848550800. Its totient is φ = 4972492800.

The previous prime is 13341480791. The next prime is 13341480821. The reversal of 13341480800 is 808414331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 920006 + ... + 934394.

It is an arithmetic number, because the mean of its divisors is an integer number (242003825).

Almost surely, 213341480800 is an apocalyptic number.

13341480800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13341480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17424275400).

13341480800 is an abundant number, since it is smaller than the sum of its proper divisors (21507070000).

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

13341480800 is a wasteful number, since it uses less digits than its factorization.

13341480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14489 (or 14476 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 13341480800 in words is "thirteen billion, three hundred forty-one million, four hundred eighty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 61 76 80 95 100 122 152 160 190 200 244 304 305 380 400 475 488 608 610 760 800 950 976 1159 1220 1520 1525 1900 1952 2318 2440 3040 3050 3800 4636 4880 5795 6100 7600 9272 9760 11590 12200 14389 15200 18544 23180 24400 28778 28975 37088 46360 48800 57556 57950 71945 92720 115112 115900 143890 185440 230224 231800 273391 287780 359725 460448 463600 546782 575560 719450 877729 927200 1093564 1151120 1366955 1438900 1755458 2187128 2302240 2733910 2877800 3510916 4374256 4388645 5467820 5755600 6834775 7021832 8748512 8777290 10935640 11511200 13669550 14043664 16676851 17554580 21871280 21943225 27339100 28087328 33353702 35109160 43742560 43886450 54678200 66707404 70218320 83384255 87772900 109356400 133414808 140436640 166768510 175545800 218712800 266829616 333537020 351091600 416921275 533659232 667074040 702183200 833842550 1334148080 1667685100 2668296160 3335370200 6670740400 13341480800