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45941040038304 = 2532159517500133
BaseRepresentation
bin10100111001000011110110…
…10111110100000110100000
320000122220212001220011210200
422130201323113310012200
522010144222222211204
6241413004502425200
712451062541125645
oct1234417327640640
9200586761804720
1045941040038304
111370253846a654
12519b821432200
131c832b57b5658
14b4b7b59c5dcc
1554a0728e1539
hex29c87b5f41a0

45941040038304 has 36 divisors (see below), whose sum is σ = 130644832609746. Its totient is φ = 15313680012672.

The previous prime is 45941040038303. The next prime is 45941040038321. The reversal of 45941040038304 is 40383004014954.

45941040038304 is a `hidden beast` number, since 4 + 594 + 10 + 40 + 0 + 3 + 8 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45695599061904 + 245440976400 = 6759852^2 + 495420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×459410400383042 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45941040038304.

It is not an unprimeable number, because it can be changed into a prime (45941040038303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79758749779 + ... + 79758750354.

Almost surely, 245941040038304 is an apocalyptic number.

It is an amenable number.

45941040038304 is an abundant number, since it is smaller than the sum of its proper divisors (84703792571442).

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

45941040038304 is a wasteful number, since it uses less digits than its factorization.

45941040038304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159517500149 (or 159517500138 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 45941040038304 in words is "forty-five trillion, nine hundred forty-one billion, forty million, thirty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 159517500133 319035000266 478552500399 638070000532 957105000798 1276140001064 1435657501197 1914210001596 2552280002128 2871315002394 3828420003192 5104560004256 5742630004788 7656840006384 11485260009576 15313680012768 22970520019152 45941040038304