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404204341242 = 231359151719809
BaseRepresentation
bin1011110000111000111…
…01001100011111111010
31102122022200210000221010
411320130131030133322
523110302302404432
6505404445454350
741126363132442
oct5703435143772
91378280700833
10404204341242
111464708a4189
12664072713b6
132c1686a7020
14157c6709122
15a7aaa843cc
hex5e1c74c7fa

404204341242 has 128 divisors (see below), whose sum is σ = 893555712000. Its totient is φ = 121134067200.

The previous prime is 404204341241. The next prime is 404204341291. The reversal of 404204341242 is 242143402404.

It is a super-2 number, since 2×4042043412422 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (404204341241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 499634134 + ... + 499634942.

It is an arithmetic number, because the mean of its divisors is an integer number (6980904000).

Almost surely, 2404204341242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404204341242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446777856000).

404204341242 is an abundant number, since it is smaller than the sum of its proper divisors (489351370758).

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

404204341242 is a wasteful number, since it uses less digits than its factorization.

404204341242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756.

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 404204341242 its reverse (242143402404), we get a palindrome (646347743646).

The spelling of 404204341242 in words is "four hundred four billion, two hundred four million, three hundred forty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 39 59 78 118 151 177 302 354 453 719 767 809 906 1438 1534 1618 1963 2157 2301 2427 3926 4314 4602 4854 5889 8909 9347 10517 11778 17818 18694 21034 26727 28041 31551 42421 47731 53454 56082 63102 84842 95462 108569 115817 122159 127263 143193 217138 231634 244318 254526 286386 325707 347451 366477 551473 581671 620503 651414 694902 732954 1102946 1163342 1241006 1411397 1588067 1654419 1745013 1861509 2822794 3176134 3308838 3490026 3723018 4234191 4764201 6405571 7207381 7561723 8468382 9528402 12811142 14414762 15123446 19216713 21622143 22685169 34318589 38433426 43244286 45370338 68637178 83272423 87832321 93695953 102955767 166544846 175664642 187391906 205911534 249817269 263496963 281087859 446141657 499634538 526993926 562175718 892283314 1141820173 1338424971 2283640346 2676849942 3425460519 5182106939 6850921038 10364213878 15546320817 31092641634 67367390207 134734780414 202102170621 404204341242