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1331641272 = 233134339857
BaseRepresentation
bin100111101011111…
…0011101110111000
310102210201101102010
41033113303232320
510211400010042
6340045405520
744666523033
oct11727635670
93383641363
101331641272
11623749885
12311b698a0
13182b66020
14c8bda01a
157bd9059c
hex4f5f3bb8

1331641272 has 64 divisors (see below), whose sum is σ = 3593832480. Its totient is φ = 408748032.

The previous prime is 1331641261. The next prime is 1331641279. The reversal of 1331641272 is 2721461331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331641279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130168 + ... + 140024.

Almost surely, 21331641272 is an apocalyptic number.

1331641272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331641272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796916240).

1331641272 is an abundant number, since it is smaller than the sum of its proper divisors (2262191208).

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

1331641272 is a wasteful number, since it uses less digits than its factorization.

1331641272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10312 (or 10308 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 1331641272 is about 36491.6603075278. The cubic root of 1331641272 is about 1100.1766305895.

The spelling of 1331641272 in words is "one billion, three hundred thirty-one million, six hundred forty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 433 866 1299 1732 2598 3464 5196 5629 9857 10392 11258 16887 19714 22516 29571 33774 39428 45032 59142 67548 78856 118284 128141 135096 236568 256282 384423 512564 768846 1025128 1537692 3075384 4268081 8536162 12804243 17072324 25608486 34144648 51216972 55485053 102433944 110970106 166455159 221940212 332910318 443880424 665820636 1331641272