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3053142504 = 233329601811
BaseRepresentation
bin1011010111111011…
…0100000111101000
321212210000201011000
42311332310013220
522223101030004
61222543235000
7135442166046
oct26576640750
97783021130
103053142504
111327468175
127125a8a60
133987000c9
1420d6bb396
1512d08ec39
hexb5fb41e8

3053142504 has 128 divisors (see below), whose sum is σ = 8798832000. Its totient is φ = 979776000.

The previous prime is 3053142503. The next prime is 3053142511. The reversal of 3053142504 is 4052413503.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3053142503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3764259 + ... + 3765069.

It is an arithmetic number, because the mean of its divisors is an integer number (68740875).

Almost surely, 23053142504 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 3053142504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399416000).

3053142504 is an abundant number, since it is smaller than the sum of its proper divisors (5745689496).

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

3053142504 is a wasteful number, since it uses less digits than its factorization.

3053142504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3053142504 is about 55255.2486556707. The cubic root of 3053142504 is about 1450.7158580204.

The spelling of 3053142504 in words is "three billion, fifty-three million, one hundred forty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 601 696 783 811 1044 1202 1566 1622 1803 2088 2404 2433 3132 3244 3606 4808 4866 5409 6264 6488 7212 7299 9732 10818 14424 14598 16227 17429 19464 21636 21897 23519 29196 32454 34858 43272 43794 47038 52287 58392 64908 69716 70557 87588 94076 104574 129816 139432 141114 156861 175176 188152 209148 211671 282228 313722 418296 423342 470583 487411 564456 627444 635013 846684 941166 974822 1254888 1270026 1462233 1693368 1882332 1949644 2540052 2924466 3764664 3899288 4386699 5080104 5848932 8773398 11697864 13160097 14134919 17546796 26320194 28269838 35093592 42404757 52640388 56539676 84809514 105280776 113079352 127214271 169619028 254428542 339238056 381642813 508857084 763285626 1017714168 1526571252 3053142504