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5112334240 = 255132699137
BaseRepresentation
bin1001100001011100…
…00000011110100000
3111012021202111011121
410300232000132200
540432224143430
62203143022024
7240455060356
oct46056003640
914167674147
105112334240
112193863422
12ba813a914
13636200560
14366d837d6
151edc45a7a
hex130b807a0

5112334240 has 96 divisors (see below), whose sum is σ = 13056739920. Its totient is φ = 1880408064.

The previous prime is 5112334229. The next prime is 5112334267. The reversal of 5112334240 is 424332115.

It can be written as a sum of positive squares in 8 ways, for example, as 36626704 + 5075707536 = 6052^2 + 71244^2 .

It is a super-2 number, since 2×51123342402 = 52271922762952755200, which contains 22 as substring.

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, 554952 + ... + 564088.

Almost surely, 25112334240 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 5112334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528369960).

5112334240 is an abundant number, since it is smaller than the sum of its proper divisors (7944405680).

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

5112334240 is a wasteful number, since it uses less digits than its factorization.

5112334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9434 (or 9426 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 5112334240 is about 71500.5890884823. The cubic root of 5112334240 is about 1722.6871463739.

Adding to 5112334240 its reverse (424332115), we get a palindrome (5536666355).

The spelling of 5112334240 in words is "five billion, one hundred twelve million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 269 416 520 538 1040 1076 1345 2080 2152 2690 3497 4304 5380 6994 8608 9137 10760 13988 17485 18274 21520 27976 34970 36548 43040 45685 55952 69940 73096 91370 111904 118781 139880 146192 182740 237562 279760 292384 365480 475124 559520 593905 730960 950248 1187810 1461920 1900496 2375620 2457853 3800992 4751240 4915706 9502480 9831412 12289265 19004960 19662824 24578530 31952089 39325648 49157060 63904178 78651296 98314120 127808356 159760445 196628240 255616712 319520890 393256480 511233424 639041780 1022466848 1278083560 2556167120 5112334240