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2314123215120 = 243257145268451
BaseRepresentation
bin100001101011001100011…
…111100000000100010000
322012020011020002112122200
4201223030133200010100
5300403311020340440
64531032111403200
7326122062530613
oct41531437400420
98166136075580
102314123215120
118124612536a2
123145ab223500
1313a2b43832b2
148000b5c017a
15402e050cc30
hex21acc7e0110

2314123215120 has 120 divisors (see below), whose sum is σ = 7881056419392. Its totient is φ = 608407968000.

The previous prime is 2314123215043. The next prime is 2314123215193. The reversal of 2314123215120 is 215123214132.

It is a happy number.

2314123215120 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 123 + 21 + 512 + 0 = 666.

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

It is a super-2 number, since 2×23141232151202 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22583106 + ... + 22685345.

Almost surely, 22314123215120 is an apocalyptic number.

2314123215120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314123215120 is an abundant number, since it is smaller than the sum of its proper divisors (5566933204272).

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

2314123215120 is a wasteful number, since it uses less digits than its factorization.

2314123215120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45268541 (or 45268532 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 2314123215120 its reverse (215123214132), we get a palindrome (2529246429252).

The spelling of 2314123215120 in words is "two trillion, three hundred fourteen billion, one hundred twenty-three million, two hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 71 72 80 90 120 142 144 180 213 240 284 355 360 426 568 639 710 720 852 1065 1136 1278 1420 1704 2130 2556 2840 3195 3408 4260 5112 5680 6390 8520 10224 12780 17040 25560 51120 45268451 90536902 135805353 181073804 226342255 271610706 362147608 407416059 452684510 543221412 679026765 724295216 814832118 905369020 1086442824 1358053530 1629664236 1810738040 2037080295 2172885648 2716107060 3214060021 3259328472 3621476080 4074160590 5432214120 6428120042 6518656944 8148321180 9642180063 10864428240 12856240084 16070300105 16296642360 19284360126 25712480168 28926540189 32140600210 32593284720 38568720252 48210900315 51424960336 57853080378 64281200420 77137440504 96421800630 115706160756 128562400840 144632700945 154274881008 192843601260 231412321512 257124801680 289265401890 385687202520 462824643024 578530803780 771374405040 1157061607560 2314123215120