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904121314101104 = 2411109283166533307
BaseRepresentation
bin1100110110010010110010010…
…1110000101100011101110000
311101120020011010220102022211012
43031210230211300230131300
51422001110422402213404
612522523333041010052
7361303416001636331
oct31544544560543560
94346204126368735
10904121314101104
11242098772463820
12854a0926923928
132ca64374228938
1411d399c2a9c288
156e7d40c015a6e
hex3364b25c2c770

904121314101104 has 80 divisors (see below), whose sum is σ = 1935330201594240. Its totient is φ = 405755069402880.

The previous prime is 904121314101091. The next prime is 904121314101133. The reversal of 904121314101104 is 401101413121409.

It is a super-2 number, since 2×9041213141011042 (a number of 31 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 15 ways as a sum of consecutive naturals, for example, 77837582 + ... + 88695725.

It is an arithmetic number, because the mean of its divisors is an integer number (24191627519928).

Almost surely, 2904121314101104 is an apocalyptic number.

It is an amenable number.

904121314101104 is an abundant number, since it is smaller than the sum of its proper divisors (1031208887493136).

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

904121314101104 is a wasteful number, since it uses less digits than its factorization.

904121314101104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166533718 (or 166533712 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 904121314101104 in words is "nine hundred four trillion, one hundred twenty-one billion, three hundred fourteen million, one hundred one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 109 176 218 283 436 566 872 1132 1199 1744 2264 2398 3113 4528 4796 6226 9592 12452 19184 24904 30847 49808 61694 123388 246776 339317 493552 678634 1357268 2714536 5429072 166533307 333066614 666133228 1332266456 1831866377 2664532912 3663732754 7327465508 14654931016 18152130463 29309862032 36304260926 47128925881 72608521852 94257851762 145217043704 188515703524 199673435093 290434087408 377031407048 399346870186 518418184691 754062814096 798693740372 1036836369382 1597387480744 2073672738764 3194774961488 4147345477528 5137052921029 8294690955056 10274105842058 20548211684116 41096423368232 56507582131319 82192846736464 113015164262638 226030328525276 452060657050552 904121314101104