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145343351460 = 22353499692309
BaseRepresentation
bin1000011101011100100…
…0111000101010100100
3111220011020011020222010
42013113020320222210
54340130344221320
6150434140234220
713333513050306
oct2072710705244
9456136136863
10145343351460
115670459518a
122420323b970
13109238b9818
14706b149976
153ba9d9bae0
hex21d7238aa4

145343351460 has 48 divisors (see below), whose sum is σ = 407078280000. Its totient is φ = 38747094144.

The previous prime is 145343351449. The next prime is 145343351551. The reversal of 145343351460 is 64153343541.

It is a super-2 number, since 2×1453433514602 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 136215 + ... + 556094.

It is an arithmetic number, because the mean of its divisors is an integer number (8480797500).

Almost surely, 2145343351460 is an apocalyptic number.

145343351460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145343351460 is an abundant number, since it is smaller than the sum of its proper divisors (261734928540).

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

145343351460 is a wasteful number, since it uses less digits than its factorization.

145343351460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695820 (or 695818 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 145343351460 in words is "one hundred forty-five billion, three hundred forty-three million, three hundred fifty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3499 6998 10497 13996 17495 20994 34990 41988 52485 69980 104970 209940 692309 1384618 2076927 2769236 3461545 4153854 6923090 8307708 10384635 13846180 20769270 41538540 2422389191 4844778382 7267167573 9689556764 12111945955 14534335146 24223891910 29068670292 36335837865 48447783820 72671675730 145343351460