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30387303451024 = 2413222724672
BaseRepresentation
bin1101110100011000110000…
…11011011000100110010000
310222120222221102110121120021
412322030120123120212100
512440331144140413044
6144343422352153224
76254260464404362
oct672143033304620
9128528842417507
1030387303451024
11975620166a273
1234a931a538814
1313c5683514400
14770a79214d32
1537a69bc11e84
hex1ba3186d8990

30387303451024 has 135 divisors (see below), whose sum is σ = 64172151423777. Its totient is φ = 13933225917312.

The previous prime is 30387303451003. The next prime is 30387303451031. The reversal of 30387303451024 is 42015430378303.

The square root of 30387303451024 is 5512468.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4495163232400 + 25892140218624 = 2120180^2 + 5088432^2 .

It is a super-3 number, since 3×303873034510243 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65069172039 + ... + 65069172505.

Almost surely, 230387303451024 is an apocalyptic number.

30387303451024 is the 5512468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30387303451024

30387303451024 is an abundant number, since it is smaller than the sum of its proper divisors (33784847972753).

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

30387303451024 is an frugal number, since it uses more digits than its factorization.

30387303451024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 30387303451024 in words is "thirty trillion, three hundred eighty-seven billion, three hundred three million, four hundred fifty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 227 338 454 467 676 908 934 1352 1816 1868 2704 2951 3632 3736 5902 6071 7472 11804 12142 23608 24284 38363 47216 48568 51529 76726 78923 97136 103058 106009 153452 157846 206116 212018 218089 306904 315692 412232 424036 436178 613808 631384 669877 824464 848072 872356 1262768 1339754 1378117 1696144 1744712 2679508 2756234 2835157 3489424 5359016 5512468 5670314 8708401 10718032 11024936 11340628 17416802 17915521 22049872 22681256 24064043 34833604 35831042 36857041 45362512 48128086 49506203 69667208 71662084 73714082 96256172 99012406 139334416 143324168 147428164 192512344 198024812 286648336 294856328 312832559 385024688 396049624 589712656 625665118 643580639 792099248 1251330236 1287161278 2502660472 2574322556 4066823267 5005320944 5148645112 8133646534 8366548307 10297290224 11237908081 16267293068 16733096614 22475816162 32534586136 33466193228 44951632324 65069172272 66932386456 89903264648 133864772912 146092805053 179806529296 292185610106 584371220212 1168742440424 1899206465689 2337484880848 3798412931378 7596825862756 15193651725512 30387303451024