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5310015241104 = 2433717103291613
BaseRepresentation
bin100110101000101010110…
…0100100111101110010000
3200210122002002111010011000
41031101111210213232100
51143444402400203404
615143215355022000
71055431061555250
oct115212544475620
920718062433130
105310015241104
111767a68198722
1271914943a900
132c6969ab8632
14145012a97960
15931d429e339
hex4d455927b90

5310015241104 has 160 divisors (see below), whose sum is σ = 18443750595840. Its totient is φ = 1427903244288.

The previous prime is 5310015241081. The next prime is 5310015241109. The reversal of 5310015241104 is 4011425100135.

5310015241104 is a `hidden beast` number, since 5 + 31 + 0 + 0 + 1 + 524 + 1 + 104 = 666.

It is a super-3 number, since 3×53100152411043 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (5310015241109) 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, 51594399 + ... + 51697214.

It is an arithmetic number, because the mean of its divisors is an integer number (115273441224).

Almost surely, 25310015241104 is an apocalyptic number.

5310015241104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5310015241104 is an abundant number, since it is smaller than the sum of its proper divisors (13133735354736).

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

5310015241104 is a wasteful number, since it uses less digits than its factorization.

5310015241104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103291654 (or 103291642 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 5310015241104 in words is "five trillion, three hundred ten billion, fifteen million, two hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1071 1224 1428 1512 1836 1904 2142 2448 2856 3024 3213 3672 4284 5712 6426 7344 8568 12852 17136 25704 51408 103291613 206583226 309874839 413166452 619749678 723041291 826332904 929624517 1239499356 1446082582 1652665808 1755957421 1859249034 2169123873 2478998712 2788873551 2892165164 3511914842 3718498068 4338247746 4957997424 5267872263 5577747102 5784330328 6507371619 7023829684 7436996136 8676495492 10535744526 11155494204 11568660656 12291701947 13014743238 14047659368 14873992272 15803616789 17352990984 19522114857 21071489052 22310988408 24583403894 26029486476 28095318736 31607233578 34705981968 36875105841 39044229714 42142978104 44621976816 47410850367 49166807788 52058972952 63214467156 73750211682 78088459428 84285956208 94821700734 98333615576 104117945904 110625317523 126428934312 147500423364 156176918856 189643401468 196667231152 221250635046 252857868624 295000846728 312353837712 331875952569 379286802936 442501270092 590001693456 663751905138 758573605872 885002540184 1327503810276 1770005080368 2655007620552 5310015241104