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3413407778316 = 2233195928194137
BaseRepresentation
bin110001101010111110111…
…101010100011000001100
3110002022121020221100121000
4301222332331110120030
5421411124342401231
611132033050540300
7501416266251564
oct61527675243014
913068536840530
103413407778316
1110a66887813a8
1247165b437690
131b9b62b75a83
14bb2d1a51da4
155dbcd28c6e6
hex31abef5460c

3413407778316 has 96 divisors (see below), whose sum is σ = 9473230368000. Its totient is φ = 1059648407424.

The previous prime is 3413407778309. The next prime is 3413407778371. The reversal of 3413407778316 is 6138777043143.

It is a super-2 number, since 2×34134077783162 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13976001 + ... + 14218136.

It is an arithmetic number, because the mean of its divisors is an integer number (98679483000).

Almost surely, 23413407778316 is an apocalyptic number.

3413407778316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3413407778316 is an abundant number, since it is smaller than the sum of its proper divisors (6059822589684).

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

3413407778316 is a wasteful number, since it uses less digits than its factorization.

3413407778316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28194228 (or 28194220 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 3413407778316 in words is "three trillion, four hundred thirteen billion, four hundred seven million, seven hundred seventy-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 59 76 108 114 118 171 177 228 236 342 354 513 531 684 708 1026 1062 1121 1593 2052 2124 2242 3186 3363 4484 6372 6726 10089 13452 20178 30267 40356 60534 121068 28194137 56388274 84582411 112776548 169164822 253747233 338329644 507494466 535688603 761241699 1014988932 1071377206 1522483398 1607065809 1663454083 2142754412 3044966796 3214131618 3326908166 4821197427 4990362249 6428263236 6653816332 9642394854 9980724498 14463592281 14971086747 19284789708 19961448996 28927184562 29942173494 31605627577 44913260241 57854369124 59884346988 63211255154 89826520482 94816882731 126422510308 179653040964 189633765462 284450648193 379267530924 568901296386 853351944579 1137802592772 1706703889158 3413407778316