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21241404296 = 2373789229503
BaseRepresentation
bin10011110010000101…
…100001101110001000
32000211100110010210122
4103302011201232020
5322000244414141
613431433002412
71351244646260
oct236205415610
960740403718
1021241404296
119010245492
124149853408
132006937ba8
1410571127a0
15844c3464b
hex4f2161b88

21241404296 has 128 divisors (see below), whose sum is σ = 47573568000. Its totient is φ = 8702318592.

The previous prime is 21241404257. The next prime is 21241404299. The reversal of 21241404296 is 69240414212.

It is a super-2 number, since 2×212414042962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21241404299) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42229181 + ... + 42229683.

It is an arithmetic number, because the mean of its divisors is an integer number (371668500).

Almost surely, 221241404296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21241404296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23786784000).

21241404296 is an abundant number, since it is smaller than the sum of its proper divisors (26332163704).

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

21241404296 is a wasteful number, since it uses less digits than its factorization.

21241404296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 21241404296 in words is "twenty-one billion, two hundred forty-one million, four hundred four thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 37 56 74 89 148 178 229 259 296 356 458 503 518 623 712 916 1006 1036 1246 1603 1832 2012 2072 2492 3206 3293 3521 4024 4984 6412 6586 7042 8473 12824 13172 14084 16946 18611 20381 23051 26344 28168 33892 37222 40762 44767 46102 59311 67784 74444 81524 89534 92204 115187 118622 130277 142667 148888 163048 179068 184408 230374 237244 260554 285334 313369 358136 460748 474488 521108 570668 626738 754097 806309 921496 1042216 1141336 1253476 1508194 1612618 1656379 2506952 3016388 3225236 3312758 4261919 5278679 6032776 6450472 6625516 8523838 10251643 10557358 11594653 13251032 17047676 20503286 21114716 23189306 29833433 34095352 41006572 42229432 46378612 59666866 71761501 82013144 92757224 119333732 143523002 238667464 287046004 379310791 574092008 758621582 1517243164 2655175537 3034486328 5310351074 10620702148 21241404296