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13034213404320 = 253565214164179
BaseRepresentation
bin1011110110101100001110…
…1010001110111010100000
31201011001120202001112210110
42331223003222032322200
53202023032112414240
643415500204331320
72513455646630013
oct275530352167240
951131522045713
1013034213404320
114175862735859
12156614b843b40
13737175c40464
14330c05c9537a
151790b313bc80
hexbdac3a8eea0

13034213404320 has 96 divisors (see below), whose sum is σ = 41064078323520. Its totient is φ = 3475256391680.

The previous prime is 13034213404297. The next prime is 13034213404349. The reversal of 13034213404320 is 2340431243031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047991 + ... + 5212169.

It is an arithmetic number, because the mean of its divisors is an integer number (427750815870).

Almost surely, 213034213404320 is an apocalyptic number.

13034213404320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13034213404320 is an abundant number, since it is smaller than the sum of its proper divisors (28029864919200).

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

13034213404320 is a wasteful number, since it uses less digits than its factorization.

13034213404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170718 (or 4170710 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 13034213404320 its reverse (2340431243031), we get a palindrome (15374644647351).

The spelling of 13034213404320 in words is "thirteen trillion, thirty-four billion, two hundred thirteen million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 6521 13042 19563 26084 32605 39126 52168 65210 78252 97815 104336 130420 156504 195630 208672 260840 313008 391260 521680 626016 782520 1043360 1565040 3130080 4164179 8328358 12492537 16656716 20820895 24985074 33313432 41641790 49970148 62462685 66626864 83283580 99940296 124925370 133253728 166567160 199880592 249850740 333134320 399761184 499701480 666268640 999402960 1998805920 27154611259 54309222518 81463833777 108618445036 135773056295 162927667554 217236890072 271546112590 325855335108 407319168885 434473780144 543092225180 651710670216 814638337770 868947560288 1086184450360 1303421340432 1629276675540 2172368900720 2606842680864 3258553351080 4344737801440 6517106702160 13034213404320