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401304317304 = 2331117325927437
BaseRepresentation
bin1011101011011111001…
…10011110110101111000
31102100211120212112222010
411311233212132311320
523033332401123204
6504205012125520
740664460262242
oct5655746366570
91370746775863
10401304317304
11145212909290
12659380068a0
132bac5928427
14155cd4c9092
15a68b18cd89
hex5d6f99ed78

401304317304 has 128 divisors (see below), whose sum is σ = 1159244524800. Its totient is φ = 114414704640.

The previous prime is 401304317203. The next prime is 401304317311. The reversal of 401304317304 is 403713403104.

It is a super-2 number, since 2×4013043173042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 14612674 + ... + 14640110.

It is an arithmetic number, because the mean of its divisors is an integer number (9056597850).

Almost surely, 2401304317304 is an apocalyptic number.

401304317304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401304317304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579622262400).

401304317304 is an abundant number, since it is smaller than the sum of its proper divisors (757940207496).

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

401304317304 is a wasteful number, since it uses less digits than its factorization.

401304317304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30733 (or 30729 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 401304317304 in words is "four hundred one billion, three hundred four million, three hundred seventeen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 3259 4488 6518 9777 13036 19554 26072 27437 35849 39108 54874 55403 71698 78216 82311 107547 109748 110806 143396 164622 166209 215094 219496 221612 286792 301807 329244 332418 430188 443224 466429 603614 609433 658488 664836 860376 905421 932858 1207228 1218866 1329672 1399287 1810842 1828299 1865716 2414456 2437732 2798574 3621684 3656598 3731432 4875464 5130719 5597148 7243368 7313196 10261438 11194296 14626392 15392157 20522876 30784314 41045752 61568628 89417183 123137256 178834366 268251549 357668732 536503098 715337464 983589013 1073006196 1520092111 1967178026 2146012392 2950767039 3040184222 3934356052 4560276333 5901534078 6080368444 7868712104 9120552666 11803068156 12160736888 16721013221 18241105332 23606136312 33442026442 36482210664 50163039663 66884052884 100326079326 133768105768 200652158652 401304317304