Search a number
-
+
2142021319224 = 2331710948165617
BaseRepresentation
bin11111001010111010011…
…010110111101000111000
321120202221011000101102020
4133022322122313220320
5240043324424203344
64320010410434440
7310520166541233
oct37127232675070
97522834011366
102142021319224
11756476212a86
122a717a732a20
13126cb7b26437
147596272641a
153aabb3c3719
hex1f2ba6b7a38

2142021319224 has 64 divisors (see below), whose sum is σ = 5722075418400. Its totient is φ = 665841475584.

The previous prime is 2142021319213. The next prime is 2142021319283. The reversal of 2142021319224 is 4229131202412.

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, 24038337 + ... + 24127280.

Almost surely, 22142021319224 is an apocalyptic number.

2142021319224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2142021319224 is an abundant number, since it is smaller than the sum of its proper divisors (3580054099176).

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

2142021319224 is a wasteful number, since it uses less digits than its factorization.

2142021319224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48165752 (or 48165748 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 2142021319224 in words is "two trillion, one hundred forty-two billion, twenty-one million, three hundred nineteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 109 136 204 218 327 408 436 654 872 1308 1853 2616 3706 5559 7412 11118 14824 22236 44472 48165617 96331234 144496851 192662468 288993702 385324936 577987404 818815489 1155974808 1637630978 2456446467 3275261956 4912892934 5250052253 6550523912 9825785868 10500104506 15750156759 19651571736 21000209012 31500313518 42000418024 63000627036 89250888301 126001254072 178501776602 267752664903 357003553204 535505329806 714007106408 1071010659612 2142021319224