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30446457144 = 2331268602381
BaseRepresentation
bin11100010110110000…
…000001000100111000
32220120212101021102220
4130112300001010320
5444323243112034
621553101124040
72125330421115
oct342660010470
986525337386
1030446457144
1111a0425a984
125a98559620
132b42a2131c
14168b86390c
15bd2e17749
hex716c01138

30446457144 has 16 divisors (see below), whose sum is σ = 76116142920. Its totient is φ = 10148819040.

The previous prime is 30446457143. The next prime is 30446457169. The reversal of 30446457144 is 44175464403.

It is a super-3 number, since 3×304464571443 (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 30446457096 and 30446457105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30446457143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 634301167 + ... + 634301214.

Almost surely, 230446457144 is an apocalyptic number.

It is an amenable number.

30446457144 is an abundant number, since it is smaller than the sum of its proper divisors (45669685776).

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

30446457144 is a wasteful number, since it uses less digits than its factorization.

30446457144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268602390 (or 1268602386 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 30446457144 in words is "thirty billion, four hundred forty-six million, four hundred fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 1268602381 2537204762 3805807143 5074409524 7611614286 10148819048 15223228572 30446457144