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145014591781512 = 23323078098109467
BaseRepresentation
bin100000111110001111010111…
…001110101111101010001000
3201000110021000020100222012200
4200332033113032233222020
5123001404340444002022
61232230441144040200
742354646525116255
oct4076172716575210
9630407006328180
10145014591781512
114222a3855a1172
1214320971463060
1362bba818926bb
1427b4a5a99442c
1511b7267c88bac
hex83e3d73afa88

145014591781512 has 96 divisors (see below), whose sum is σ = 394514264944800. Its totient is φ = 48121181989632.

The previous prime is 145014591781471. The next prime is 145014591781523. The reversal of 145014591781512 is 215187195410541.

It is a happy number.

145014591781512 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 1 + 4 + 59 + 1 + 78 + 1 + 512 = 666.

It is a super-2 number, since 2×1450145917815122 (a number of 29 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, 13827403 + ... + 21936869.

It is an arithmetic number, because the mean of its divisors is an integer number (4109523593175).

Almost surely, 2145014591781512 is an apocalyptic number.

145014591781512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145014591781512 is an abundant number, since it is smaller than the sum of its proper divisors (249499673163288).

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

145014591781512 is a wasteful number, since it uses less digits than its factorization.

145014591781512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8110595 (or 8110588 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 54.

The spelling of 145014591781512 in words is "one hundred forty-five trillion, fourteen billion, five hundred ninety-one million, seven hundred eighty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 307 614 809 921 1228 1618 1842 2427 2456 2763 3236 3684 4854 5526 6472 7281 7368 9708 11052 14562 19416 22104 29124 58248 248363 496726 745089 993452 1490178 1986904 2235267 2980356 4470534 5960712 8109467 8941068 16218934 17882136 24328401 32437868 48656802 64875736 72985203 97313604 145970406 194627208 291940812 583881624 2489606369 4979212738 6560558803 7468819107 9958425476 13121117606 14937638214 19681676409 19916850952 22406457321 26242235212 29875276428 39363352818 44812914642 52484470424 59045029227 59750552856 78726705636 89625829284 118090058454 157453411272 179251658568 236180116908 472360233816 2014091552521 4028183105042 6042274657563 8056366210084 12084549315126 16112732420168 18126823972689 24169098630252 36253647945378 48338197260504 72507295890756 145014591781512