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14301053920 = 2553113920743
BaseRepresentation
bin11010101000110100…
…01100001111100000
31100220122221210220201
431110122030033200
5213242032211140
610323025114544
71014251644516
oct152432141740
940818853821
1014301053920
11607963252a
122931488a54
13146bab85aa
149994824b6
1558a79e49a
hex35468c3e0

14301053920 has 96 divisors (see below), whose sum is σ = 35128719360. Its totient is φ = 5495800320.

The previous prime is 14301053909. The next prime is 14301053933. The reversal of 14301053920 is 2935010341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679069 + ... + 699811.

It is an arithmetic number, because the mean of its divisors is an integer number (365924160).

Almost surely, 214301053920 is an apocalyptic number.

14301053920 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 14301053920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17564359680).

14301053920 is an abundant number, since it is smaller than the sum of its proper divisors (20827665440).

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

14301053920 is a wasteful number, since it uses less digits than its factorization.

14301053920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20928 (or 20920 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The spelling of 14301053920 in words is "fourteen billion, three hundred one million, fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 139 155 160 248 278 310 496 556 620 695 992 1112 1240 1390 2224 2480 2780 4309 4448 4960 5560 8618 11120 17236 20743 21545 22240 34472 41486 43090 68944 82972 86180 103715 137888 165944 172360 207430 331888 344720 414860 643033 663776 689440 829720 1286066 1659440 2572132 2883277 3215165 3318880 5144264 5766554 6430330 10288528 11533108 12860660 14416385 20577056 23066216 25721320 28832770 46132432 51442640 57665540 89381587 92264864 102885280 115331080 178763174 230662160 357526348 446907935 461324320 715052696 893815870 1430105392 1787631740 2860210784 3575263480 7150526960 14301053920