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14013104010120 = 23325224317354119
BaseRepresentation
bin1100101111101010111000…
…0101100011001110001000
31211121122021022102122021200
43023322232011203032020
53314042314111310440
645445310415304200
72644261531531515
oct313725605431610
954548238378250
1014013104010120
114512a18990416
1216a3a0021b060
137a8578a417a7
1436634895030c
151947a6547c30
hexcbeae163388

14013104010120 has 96 divisors (see below), whose sum is σ = 45562894977600. Its totient is φ = 3735161525376.

The previous prime is 14013104010119. The next prime is 14013104010127. The reversal of 14013104010120 is 2101040131041.

14013104010120 is a `hidden beast` number, since 14 + 0 + 131 + 0 + 401 + 0 + 120 = 666.

14013104010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14013104010093 and 14013104010102.

It is not an unprimeable number, because it can be changed into a prime (14013104010127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7869580 + ... + 9484539.

It is an arithmetic number, because the mean of its divisors is an integer number (474613489350).

Almost surely, 214013104010120 is an apocalyptic number.

14013104010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14013104010120 is an abundant number, since it is smaller than the sum of its proper divisors (31549790967480).

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

14013104010120 is a wasteful number, since it uses less digits than its factorization.

14013104010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17356379 (or 17356372 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 14013104010120 its reverse (2101040131041), we get a palindrome (16114144141161).

The spelling of 14013104010120 in words is "fourteen trillion, thirteen billion, one hundred four million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2243 4486 6729 8972 11215 13458 17944 20187 22430 26916 33645 40374 44860 53832 67290 80748 89720 100935 134580 161496 201870 269160 403740 807480 17354119 34708238 52062357 69416476 86770595 104124714 138832952 156187071 173541190 208249428 260311785 312374142 347082380 416498856 520623570 624748284 694164760 780935355 1041247140 1249496568 1561870710 2082494280 3123741420 6247482840 38925288917 77850577834 116775866751 155701155668 194626444585 233551733502 311402311336 350327600253 389252889170 467103467004 583879333755 700655200506 778505778340 934206934008 1167758667510 1401310401012 1557011556680 1751638001265 2335517335020 2802620802024 3503276002530 4671034670040 7006552005060 14013104010120