Search a number
-
+
242864464314984 = 233971011032903203
BaseRepresentation
bin110111001110001001001010…
…000111111100001001101000
31011211220121122002112011110020
4313032021022013330021220
5223313042410331034414
62220310221125120440
7102104243554332621
oct6716111207741150
91154817562464406
10242864464314984
1170425271707976
12232a4915859120
13a569036685545
1443d89ba664a48
151d126de6bd7a9
hexdce24a1fc268

242864464314984 has 64 divisors (see below), whose sum is σ = 619494025631040. Its totient is φ = 79326965913600.

The previous prime is 242864464314889. The next prime is 242864464315001. The reversal of 242864464314984 is 489413464468242.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 516216474 + ... + 516686729.

It is an arithmetic number, because the mean of its divisors is an integer number (9679594150485).

Almost surely, 2242864464314984 is an apocalyptic number.

242864464314984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242864464314984 is an abundant number, since it is smaller than the sum of its proper divisors (376629561316056).

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

242864464314984 is a wasteful number, since it uses less digits than its factorization.

242864464314984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032903410 (or 1032903406 counting only the distinct ones).

The product of its digits is 1019215872, while the sum is 69.

The spelling of 242864464314984 in words is "two hundred forty-two trillion, eight hundred sixty-four billion, four hundred sixty-four million, three hundred fourteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 97 101 194 202 291 303 388 404 582 606 776 808 1164 1212 2328 2424 9797 19594 29391 39188 58782 78376 117564 235128 1032903203 2065806406 3098709609 4131612812 6197419218 8263225624 12394838436 24789676872 100191610691 104323223503 200383221382 208646447006 300574832073 312969670509 400766442764 417292894012 601149664146 625939341018 801532885528 834585788024 1202299328292 1251878682036 2404598656584 2503757364072 10119352679791 20238705359582 30358058039373 40477410719164 60716116078746 80954821438328 121432232157492 242864464314984