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1412135328 = 253171945541
BaseRepresentation
bin101010000101011…
…0111100110100000
310122102011220111110
41110022313212200
510343001312303
6352042543320
746664644422
oct12412674640
93572156443
101412135328
1166512819a
12334b07b40
1319673a246
14d5790812
1583e90703
hex542b79a0

1412135328 has 96 divisors (see below), whose sum is σ = 4131570240. Its totient is φ = 419696640.

The previous prime is 1412135279. The next prime is 1412135353. The reversal of 1412135328 is 8235312141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1412135295 and 1412135304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8238 + ... + 53778.

It is an arithmetic number, because the mean of its divisors is an integer number (43037190).

Almost surely, 21412135328 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 1412135328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065785120).

1412135328 is an abundant number, since it is smaller than the sum of its proper divisors (2719434912).

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

1412135328 is a wasteful number, since it uses less digits than its factorization.

1412135328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45590 (or 45582 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 1412135328 is about 37578.3891086353. The cubic root of 1412135328 is about 1121.9119468521.

Adding to 1412135328 its reverse (8235312141), we get a palindrome (9647447469).

The spelling of 1412135328 in words is "one billion, four hundred twelve million, one hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 152 204 228 272 304 323 408 456 544 608 646 816 912 969 1292 1632 1824 1938 2584 3876 5168 7752 10336 15504 31008 45541 91082 136623 182164 273246 364328 546492 728656 774197 865279 1092984 1457312 1548394 1730558 2185968 2322591 2595837 3096788 3461116 4371936 4645182 5191674 6193576 6922232 9290364 10383348 12387152 13844464 14709743 18580728 20766696 24774304 27688928 29419486 37161456 41533392 44129229 58838972 74322912 83066784 88258458 117677944 176516916 235355888 353033832 470711776 706067664 1412135328