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30415420175712 = 25311132170428883
BaseRepresentation
bin1101110101001101001000…
…10100001011010101100000
310222200200111221001012212220
412322212210110023111200
512441311240031110322
6144404352351151040
76256304315541555
oct672464424132540
9128620457035786
1030415420175712
11976711a840720
1234b2866815480
1313c8214680300
147721854aaa2c
1537b29533355c
hex1ba9a450b560

30415420175712 has 144 divisors (see below), whose sum is σ = 94313980974528. Its totient is φ = 8507809789440.

The previous prime is 30415420175563. The next prime is 30415420175713. The reversal of 30415420175712 is 21757102451403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30415420175713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85035978 + ... + 85392905.

It is an arithmetic number, because the mean of its divisors is an integer number (654958201212).

Almost surely, 230415420175712 is an apocalyptic number.

30415420175712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30415420175712 is an abundant number, since it is smaller than the sum of its proper divisors (63898560798816).

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

30415420175712 is a wasteful number, since it uses less digits than its factorization.

30415420175712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170428933 (or 170428912 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 30415420175712 in words is "thirty trillion, four hundred fifteen billion, four hundred twenty million, one hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 169 176 208 264 286 312 338 352 416 429 507 528 572 624 676 858 1014 1056 1144 1248 1352 1716 1859 2028 2288 2704 3432 3718 4056 4576 5408 5577 6864 7436 8112 11154 13728 14872 16224 22308 29744 44616 59488 89232 178464 170428883 340857766 511286649 681715532 1022573298 1363431064 1874717713 2045146596 2215575479 2726862128 3749435426 4090293192 4431150958 5453724256 5624153139 6646726437 7498870852 8180586384 8862301916 11248306278 13293452874 14997741704 16361172768 17724603832 22496612556 24371330269 26586905748 28802481227 29995483408 35449207664 44993225112 48742660538 53173811496 57604962454 59990966816 70898415328 73113990807 86407443681 89986450224 97485321076 106347622992 115209924908 146227981614 172814887362 179972900448 194970642152 212695245984 230419849816 292455963228 316827293497 345629774724 389941284304 460839699632 584911926456 633654586994 691259549448 779882568608 921679399264 950481880491 1169823852912 1267309173988 1382519098896 1900963760982 2339647705824 2534618347976 2765038197792 3801927521964 5069236695952 7603855043928 10138473391904 15207710087856 30415420175712