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399057221040 = 24357172732213
BaseRepresentation
bin1011100111010011010…
…10011111010110110000
31102011000222120020101120
411303221222133112300
523014232122033130
6503154021102240
740555003261212
oct5635152372660
91364028506346
10399057221040
1114426a441635
126540b557980
132b82821727a
1415458cac5b2
15a5a8c6b910
hex5ce9a9f5b0

399057221040 has 160 divisors (see below), whose sum is σ = 1256265593856. Its totient is φ = 104768885760.

The previous prime is 399057221039. The next prime is 399057221051. The reversal of 399057221040 is 40122750993.

It is a junction number, because it is equal to n+sod(n) for n = 399057220983 and 399057221001.

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, 12371974 + ... + 12404186.

Almost surely, 2399057221040 is an apocalyptic number.

399057221040 is a gapful number since it is divisible by the number (30) 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 399057221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628132796928).

399057221040 is an abundant number, since it is smaller than the sum of its proper divisors (857208372816).

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

399057221040 is a wasteful number, since it uses less digits than its factorization.

399057221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33027 (or 33021 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 399057221040 in words is "three hundred ninety-nine billion, fifty-seven million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 727 852 1065 1136 1420 1454 1704 2130 2181 2840 2908 3408 3635 4260 4362 5680 5816 7270 8520 8724 10905 11632 14540 17040 17448 21810 29080 32213 34896 43620 51617 58160 64426 87240 96639 103234 128852 154851 161065 174480 193278 206468 257704 258085 309702 322130 386556 412936 483195 515408 516170 619404 644260 773112 774255 825872 966390 1032340 1238808 1288520 1546224 1548510 1932780 2064680 2287123 2477616 2577040 3097020 3865560 4129360 4574246 6194040 6861369 7731120 9148492 11435615 12388080 13722738 18296984 22871230 23418851 27445476 34306845 36593968 45742460 46837702 54890952 68613690 70256553 91484920 93675404 109781904 117094255 137227380 140513106 182969840 187350808 234188510 274454760 281026212 351282765 374701616 468377020 548909520 562052424 702565530 936754040 1124104848 1405131060 1662738421 1873508080 2810262120 3325476842 4988215263 5620524240 6650953684 8313692105 9976430526 13301907368 16627384210 19952861052 24941076315 26603814736 33254768420 39905722104 49882152630 66509536840 79811444208 99764305260 133019073680 199528610520 399057221040