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14232442013220 = 22356710093508829
BaseRepresentation
bin1100111100011011111110…
…1001101000011000100100
31212101121102100120200000010
43033012333221220120210
53331141020123410340
650134143230050220
72666155116021354
oct317067751503044
955347370520003
1014232442013220
114597a43528562
12171a414049970
137c3162543b42
14372bd5032b64
1519a342570b80
hexcf1bfa68624

14232442013220 has 96 divisors (see below), whose sum is σ = 40485722659200. Its totient is φ = 3734964946944.

The previous prime is 14232442013201. The next prime is 14232442013243. The reversal of 14232442013220 is 2231024423241.

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 31 ways as a sum of consecutive naturals, for example, 2301766 + ... + 5810594.

It is an arithmetic number, because the mean of its divisors is an integer number (421726277700).

Almost surely, 214232442013220 is an apocalyptic number.

14232442013220 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 14232442013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20242861329600).

14232442013220 is an abundant number, since it is smaller than the sum of its proper divisors (26253280645980).

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

14232442013220 is a wasteful number, since it uses less digits than its factorization.

14232442013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509917 (or 3509915 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 14232442013220 its reverse (2231024423241), we get a palindrome (16463466436461).

The spelling of 14232442013220 in words is "fourteen trillion, two hundred thirty-two billion, four hundred forty-two million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1009 1340 2010 2018 3027 4020 4036 5045 6054 10090 12108 15135 20180 30270 60540 67603 135206 202809 270412 338015 405618 676030 811236 1014045 1352060 2028090 3508829 4056180 7017658 10526487 14035316 17544145 21052974 35088290 42105948 52632435 70176580 105264870 210529740 235091543 470183086 705274629 940366172 1175457715 1410549258 2350915430 2821098516 3526373145 3540408461 4701830860 7052746290 7080816922 10621225383 14105492580 14161633844 17702042305 21242450766 35404084610 42484901532 53106126915 70808169220 106212253830 212424507660 237207366887 474414733774 711622100661 948829467548 1186036834435 1423244201322 2372073668870 2846488402644 3558110503305 4744147337740 7116221006610 14232442013220