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14312242114320 = 24351714087249017
BaseRepresentation
bin1101000001000101010000…
…0110110110111100010000
31212200020101202112211021010
43100101110012312330100
53333442432440124240
650234541523130520
73005011462466343
oct320212406667420
955606352484233
1014312242114320
114618873610637
121731984b13a40
137ca83c128687
14376a0541445a
1519c463205280
hexd04541b6f10

14312242114320 has 160 divisors (see below), whose sum is σ = 46981353500928. Its totient is φ = 3591822721024.

The previous prime is 14312242114297. The next prime is 14312242114399. The reversal of 14312242114320 is 2341124221341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57350452 + ... + 57599468.

Almost surely, 214312242114320 is an apocalyptic number.

14312242114320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14312242114320 is an abundant number, since it is smaller than the sum of its proper divisors (32669111386608).

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

14312242114320 is a wasteful number, since it uses less digits than its factorization.

14312242114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263137 (or 263131 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 14312242114320 its reverse (2341124221341), we get a palindrome (16653366335661).

The spelling of 14312242114320 in words is "fourteen trillion, three hundred twelve billion, two hundred forty-two million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 14087 28174 42261 56348 70435 84522 112696 140870 169044 211305 225392 239479 249017 281740 338088 422610 478958 498034 563480 676176 718437 747051 845220 957916 996068 1126960 1197395 1245085 1436874 1494102 1690440 1915832 1992136 2394790 2490170 2873748 2988204 3380880 3592185 3735255 3831664 3984272 4233289 4789580 4980340 5747496 5976408 7184370 7470510 8466578 9579160 9960680 11494992 11952816 12699867 14368740 14941020 16933156 19158320 19921360 21166445 25399734 28737480 29882040 33866312 42332890 50799468 57474960 59764080 63499335 67732624 84665780 101598936 126998670 169331560 203197872 253997340 338663120 507994680 1015989360 3507902479 7015804958 10523707437 14031609916 17539512395 21047414874 28063219832 35079024790 42094829748 52618537185 56126439664 59634342143 70158049580 84189659496 105237074370 119268684286 140316099160 168379318992 178903026429 210474148740 238537368572 280632198320 298171710715 357806052858 420948297480 477074737144 596343421430 715612105716 841896594960 894515132145 954149474288 1192686842860 1431224211432 1789030264290 2385373685720 2862448422864 3578060528580 4770747371440 7156121057160 14312242114320