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404141252340232 = 231137823011508147
BaseRepresentation
bin101101111100100000111011…
…1110010001110101000001000
31221222221112012202011011122201
41123321001313302032220020
5410432422241044341412
63551311532300525544
7151061145661005451
oct13371016762165010
91858845182134581
10404141252340232
11107854385007130
12393b13478508b4
13144674834c72a4
1471b278064c128
1531ac994c33e57
hex16f9077c8ea08

404141252340232 has 64 divisors (see below), whose sum is σ = 849005401400640. Its totient is φ = 178733398752000.

The previous prime is 404141252340229. The next prime is 404141252340247. The reversal of 404141252340232 is 232043252141404.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 404141252340191 and 404141252340200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267217983 + ... + 268726129.

It is an arithmetic number, because the mean of its divisors is an integer number (13265709396885).

Almost surely, 2404141252340232 is an apocalyptic number.

It is an amenable number.

404141252340232 is an abundant number, since it is smaller than the sum of its proper divisors (444864149060408).

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

404141252340232 is a wasteful number, since it uses less digits than its factorization.

404141252340232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590502 (or 1590498 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

The spelling of 404141252340232 in words is "four hundred four trillion, one hundred forty-one billion, two hundred fifty-two million, three hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 814 1628 3256 82301 164602 329204 658408 905311 1508147 1810622 3016294 3045137 3621244 6032588 6090274 7242488 12065176 12180548 16589617 24361096 33179234 33496507 55801439 66358468 66993014 111602878 132716936 133986028 223205756 267972056 446411512 613815829 1227631658 2455263316 4910526632 124122006247 248244012494 496488024988 992976049976 1365342068717 2730684137434 4592514231139 5461368274868 9185028462278 10922736549736 18370056924556 36740113849112 50517656542529 101035313085058 202070626170116 404141252340232