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14002210542120 = 23352937108746587
BaseRepresentation
bin1100101111000010010011…
…0010010001001000101000
31211120121011010110010110220
43023300210302101020220
53313403011344321440
645440305434410040
72643424554554553
oct313604462211050
954517133403426
1014002210542120
1145093388a56a9
1216a187bb90920
137a7530c06b38
143659d3c9169a
15194369eed8d0
hexcbc24c91228

14002210542120 has 128 divisors (see below), whose sum is σ = 44629599715200. Its totient is φ = 3507729878016.

The previous prime is 14002210542119. The next prime is 14002210542163. The reversal of 14002210542120 is 2124501220041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54244534 + ... + 54502053.

It is an arithmetic number, because the mean of its divisors is an integer number (348668747775).

Almost surely, 214002210542120 is an apocalyptic number.

14002210542120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14002210542120 is an abundant number, since it is smaller than the sum of its proper divisors (30627389173080).

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

14002210542120 is a wasteful number, since it uses less digits than its factorization.

14002210542120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108746667 (or 108746663 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 14002210542120 its reverse (2124501220041), we get a palindrome (16126711762161).

The spelling of 14002210542120 in words is "fourteen trillion, two billion, two hundred ten million, five hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 37 40 58 60 74 87 111 116 120 145 148 174 185 222 232 290 296 348 370 435 444 555 580 696 740 870 888 1073 1110 1160 1480 1740 2146 2220 3219 3480 4292 4440 5365 6438 8584 10730 12876 16095 21460 25752 32190 42920 64380 128760 108746587 217493174 326239761 434986348 543732935 652479522 869972696 1087465870 1304959044 1631198805 2174931740 2609918088 3153651023 3262397610 4023623719 4349863480 6307302046 6524795220 8047247438 9460953069 12070871157 12614604092 13049590440 15768255115 16094494876 18921906138 20118118595 24141742314 25229208184 31536510230 32188989752 37843812276 40236237190 47304765345 48283484628 60354355785 63073020460 75687624552 80472474380 94609530690 96566969256 116685087851 120708711570 126146040920 160944948760 189219061380 233370175702 241417423140 350055263553 378438122760 466740351404 482834846280 583425439255 700110527106 933480702808 1166850878510 1400221054212 1750276317765 2333701757020 2800442108424 3500552635530 4667403514040 7001105271060 14002210542120