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145454805456 = 2433083982909
BaseRepresentation
bin1000011101110111001…
…0000011000111010000
3111220102222212201002220
42013131302003013100
54340342412233311
6150453201141040
713336335306132
oct2073562030720
9456388781086
10145454805456
115676149a224
122423462a780
1310940a1092c
14707bc7d052
153bb4a65206
hex21ddc831d0

145454805456 has 40 divisors (see below), whose sum is σ = 375880510560. Its totient is φ = 48469159296.

The previous prime is 145454805367. The next prime is 145454805481. The reversal of 145454805456 is 654508454541.

It is a super-3 number, since 3×1454548054563 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145454805399 and 145454805408.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 343471 + ... + 639438.

It is an arithmetic number, because the mean of its divisors is an integer number (9397012764).

Almost surely, 2145454805456 is an apocalyptic number.

145454805456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145454805456 is an abundant number, since it is smaller than the sum of its proper divisors (230425705104).

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

145454805456 is a wasteful number, since it uses less digits than its factorization.

145454805456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986003 (or 985997 counting only the distinct ones).

The product of its (nonzero) digits is 7680000, while the sum is 51.

The spelling of 145454805456 in words is "one hundred forty-five billion, four hundred fifty-four million, eight hundred five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 3083 6166 9249 12332 18498 24664 36996 49328 73992 147984 982909 1965818 2948727 3931636 5897454 7863272 11794908 15726544 23589816 47179632 3030308447 6060616894 9090925341 12121233788 18181850682 24242467576 36363701364 48484935152 72727402728 145454805456