Search a number
-
+
242413090944 = 273631284091
BaseRepresentation
bin1110000111000011110…
…0100011100010000000
3212011201011222221110120
43201300330203202000
512432430222402234
6303210225500240
723341136163243
oct3416074434200
9764634887416
10242413090944
1193896963182
123ab937a1680
1319b232c1aab
14ba38d5925a
15648bc1b049
hex3870f23880

242413090944 has 32 divisors (see below), whose sum is σ = 643909773840. Its totient is φ = 80804363520.

The previous prime is 242413090921. The next prime is 242413090991. The reversal of 242413090944 is 449090314242.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2424130909442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242413090896 and 242413090905.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 315641662 + ... + 315642429.

Almost surely, 2242413090944 is an apocalyptic number.

242413090944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242413090944 is an abundant number, since it is smaller than the sum of its proper divisors (401496682896).

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

242413090944 is an equidigital number, since it uses as much as digits as its factorization.

242413090944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631284108 (or 631284096 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 242413090944 in words is "two hundred forty-two billion, four hundred thirteen million, ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 631284091 1262568182 1893852273 2525136364 3787704546 5050272728 7575409092 10100545456 15150818184 20201090912 30301636368 40402181824 60603272736 80804363648 121206545472 242413090944