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5314400432 = 2411317511297
BaseRepresentation
bin1001111001100001…
…10101000010110000
3111201100222111212122
410330300311002300
541340441303212
62235202013412
7245460441545
oct47460650260
914640874778
105314400432
112287927780
121043947268
1366902c153
14385b42bcc
1521185c272
hex13cc350b0

5314400432 has 80 divisors (see below), whose sum is σ = 11619446784. Its totient is φ = 2332800000.

The previous prime is 5314400411. The next prime is 5314400501. The reversal of 5314400432 is 2340044135.

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, 4096808 + ... + 4098104.

Almost surely, 25314400432 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 5314400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809723392).

5314400432 is an abundant number, since it is smaller than the sum of its proper divisors (6305046352).

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

5314400432 is a wasteful number, since it uses less digits than its factorization.

5314400432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 5314400432 is about 72899.9343758278. The cubic root of 5314400432 is about 1745.0910516442.

Adding to 5314400432 its reverse (2340044135), we get a palindrome (7654444567).

The spelling of 5314400432 in words is "five billion, three hundred fourteen million, four hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 751 1297 1364 1502 2594 2728 3004 5188 5456 6008 8261 10376 12016 14267 16522 20752 23281 28534 33044 40207 46562 57068 66088 80414 93124 114136 132176 160828 186248 228272 256091 321656 372496 442277 512182 643312 884554 974047 1024364 1769108 1948094 2048728 3538216 3896188 4097456 7076432 7792376 10714517 15584752 21429034 30195457 42858068 60390914 85716136 120781828 171432272 241563656 332150027 483127312 664300054 1328600108 2657200216 5314400432