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14226891120 = 24325131519967
BaseRepresentation
bin11010011111111110…
…10010000101110000
31100201111101221200100
431033333102011300
5213114041003440
610311415352400
71012361402451
oct151777220560
940644357610
1014226891120
116040788962
122910682700
131459620090
1498d699128
15584000230
hex34ffd2170

14226891120 has 120 divisors (see below), whose sum is σ = 51453956736. Its totient is φ = 3502001664.

The previous prime is 14226891097. The next prime is 14226891143. The reversal of 14226891120 is 2119862241.

It is an interprime number because it is at equal distance from previous prime (14226891097) and next prime (14226891143).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750624 + ... + 769343.

Almost surely, 214226891120 is an apocalyptic number.

14226891120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14226891120 is an abundant number, since it is smaller than the sum of its proper divisors (37227065616).

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

14226891120 is a wasteful number, since it uses less digits than its factorization.

14226891120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519999 (or 1519990 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 14226891120 in words is "fourteen billion, two hundred twenty-six million, eight hundred ninety-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 1519967 3039934 4559901 6079868 7599835 9119802 12159736 13679703 15199670 18239604 19759571 22799505 24319472 27359406 30399340 36479208 39519142 45599010 54718812 59278713 60798680 68398515 72958416 79038284 91198020 98797855 109437624 118557426 121597360 136797030 158076568 177836139 182396040 197595710 218875248 237114852 273594060 296393565 316153136 355672278 364792080 395191420 474229704 547188120 592787130 711344556 790382840 889180695 948459408 1094376240 1185574260 1422689112 1580765680 1778361390 2371148520 2845378224 3556722780 4742297040 7113445560 14226891120