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45440131152 = 24313353206291
BaseRepresentation
bin101010010100011100…
…010110000001010000
311100021210121211111110
4222110130112001100
51221030133144102
632512551413320
73166022512323
oct522434260120
9140253554443
1045440131152
11182a88510a9
128981984240
134392163b90
1422b0cbc7ba
1512ae3cc86c
hexa94716050

45440131152 has 80 divisors (see below), whose sum is σ = 126775510848. Its totient is φ = 13941903360.

The previous prime is 45440131151. The next prime is 45440131157. The reversal of 45440131152 is 25113104454.

It is a super-2 number, since 2×454401311522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45440131151) 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 15 ways as a sum of consecutive naturals, for example, 117127 + ... + 323417.

Almost surely, 245440131152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45440131152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63387755424).

45440131152 is an abundant number, since it is smaller than the sum of its proper divisors (81335379696).

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

45440131152 is a wasteful number, since it uses less digits than its factorization.

45440131152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206668 (or 206662 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 45440131152 in words is "forty-five billion, four hundred forty million, one hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 353 624 706 1059 1412 2118 2824 4236 4589 5648 8472 9178 13767 16944 18356 27534 36712 55068 73424 110136 206291 220272 412582 618873 825164 1237746 1650328 2475492 2681783 3300656 4950984 5363566 8045349 9901968 10727132 16090698 21454264 32181396 42908528 64362792 72820723 128725584 145641446 218462169 291282892 436924338 582565784 873848676 946669399 1165131568 1747697352 1893338798 2840008197 3495394704 3786677596 5680016394 7573355192 11360032788 15146710384 22720065576 45440131152