Search a number
-
+
244452240355104 = 25322099404379467
BaseRepresentation
bin110111100101001111111000…
…111100110110111100100000
31012001112101221221021010212200
4313211033320330312330200
5224020101142012330404
62223523450420053200
7102330043254104655
oct6745177074667440
91161471857233780
10244452240355104
1170987681907381
1223500594834200
13a652993c20b12
1444517a16b5c2c
151d3db6ca43839
hexde53f8f36f20

244452240355104 has 72 divisors (see below), whose sum is σ = 695492247013200. Its totient is φ = 81445259488128.

The previous prime is 244452240355087. The next prime is 244452240355171. The reversal of 244452240355104 is 401553042254442.

244452240355104 is a `hidden beast` number, since 2 + 4 + 4 + 4 + 52 + 2 + 40 + 3 + 551 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 244452240355104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201585222 + ... + 202794245.

It is an arithmetic number, because the mean of its divisors is an integer number (9659614541850).

Almost surely, 2244452240355104 is an apocalyptic number.

244452240355104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

244452240355104 is an abundant number, since it is smaller than the sum of its proper divisors (451040006658096).

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

244452240355104 is a wasteful number, since it uses less digits than its factorization.

244452240355104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404381582 (or 404381571 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

The spelling of 244452240355104 in words is "two hundred forty-four trillion, four hundred fifty-two billion, two hundred forty million, three hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2099 4198 6297 8396 12594 16792 18891 25188 33584 37782 50376 67168 75564 100752 151128 201504 302256 604512 404379467 808758934 1213138401 1617517868 2426276802 3235035736 3639415203 4852553604 6470071472 7278830406 9705107208 12940142944 14557660812 19410214416 29115321624 38820428832 58230643248 116461286496 848792501233 1697585002466 2546377503699 3395170004932 5092755007398 6790340009864 7639132511097 10185510014796 13580680019728 15278265022194 20371020029592 27161360039456 30556530044388 40742040059184 61113060088776 81484080118368 122226120177552 244452240355104