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5313151440 = 2432517434081
BaseRepresentation
bin1001111001011000…
…00100000111010000
3111201021122001120200
410330230010013100
541340131321230
62235115135200
7245444020302
oct47454040720
914637561520
105313151440
112287154353
121043444500
136689b27bc
143858d9972
152116b2160
hex13cb041d0

5313151440 has 120 divisors (see below), whose sum is σ = 18892984968. Its totient is φ = 1333493760.

The previous prime is 5313151439. The next prime is 5313151463. The reversal of 5313151440 is 441513135.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 734193216 + 4578958224 = 27096^2 + 67668^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 204801 + ... + 229280.

Almost surely, 25313151440 is an apocalyptic number.

It is an amenable number.

5313151440 is an abundant number, since it is smaller than the sum of its proper divisors (13579833528).

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

5313151440 is a wasteful number, since it uses less digits than its factorization.

5313151440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434117 (or 434108 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5313151440 is about 72891.3673901101. The cubic root of 5313151440 is about 1744.9543303237.

Adding to 5313151440 its reverse (441513135), we get a palindrome (5754664575).

The spelling of 5313151440 in words is "five billion, three hundred thirteen million, one hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 434081 868162 1302243 1736324 2170405 2604486 3472648 3906729 4340810 5208972 6511215 6945296 7379377 7813458 8681620 10417944 13022430 14758754 15626916 17363240 19533645 20835888 22138131 26044860 29517508 31253832 34726480 36896885 39067290 44276262 52089720 59035016 62507664 66414393 73793770 78134580 88552524 104179440 110690655 118070032 132828786 147587540 156269160 177105048 221381310 265657572 295175080 312538320 332071965 354210096 442762620 531315144 590350160 664143930 885525240 1062630288 1328287860 1771050480 2656575720 5313151440