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1332140512 = 25413173203
BaseRepresentation
bin100111101100110…
…1101100111100000
310102211122202020111
41033121231213200
510212011444022
6340104221104
745004002403
oct11731554740
93384582214
101332140512
11623a5a97a
1231216a794
13182cac331
14c8cc9d3a
157be3d477
hex4f66d9e0

1332140512 has 48 divisors (see below), whose sum is σ = 2695935312. Its totient is φ = 647572480.

The previous prime is 1332140507. The next prime is 1332140533. The reversal of 1332140512 is 2150412331.

It is a happy number.

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, 414303 + ... + 417505.

It is an arithmetic number, because the mean of its divisors is an integer number (56165319).

Almost surely, 21332140512 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 1332140512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347967656).

1332140512 is an abundant number, since it is smaller than the sum of its proper divisors (1363794800).

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

1332140512 is a wasteful number, since it uses less digits than its factorization.

1332140512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1332140512 is about 36498.5001335671. The cubic root of 1332140512 is about 1100.3141009347.

Adding to 1332140512 its reverse (2150412331), we get a palindrome (3482552843).

The spelling of 1332140512 in words is "one billion, three hundred thirty-two million, one hundred forty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 41 82 164 317 328 634 656 1268 1312 2536 3203 5072 6406 10144 12812 12997 25624 25994 51248 51988 102496 103976 131323 207952 262646 415904 525292 1015351 1050584 2030702 2101168 4061404 4202336 8122808 16245616 32491232 41629391 83258782 166517564 333035128 666070256 1332140512