Search a number
-
+
4220044642152 = 233258611731141
BaseRepresentation
bin111101011010001110010…
…000110000011101101000
3112221102200011111201012100
4331122032100300131220
51023120122412022102
612550354534213400
7613613432415063
oct75321620603550
915842604451170
104220044642152
111387790203129
12581a584b4260
13247c43b22cc1
141083736078da
1574b8e067a1c
hex3d68e430768

4220044642152 has 24 divisors (see below), whose sum is σ = 11429287572690. Its totient is φ = 1406681547360.

The previous prime is 4220044642061. The next prime is 4220044642153. The reversal of 4220044642152 is 2512464400224.

4220044642152 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 0 + 4 + 4 + 642 + 1 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3979330770276 + 240713871876 = 1994826^2 + 490626^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×42200446421522 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4220044642153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29305865499 + ... + 29305865642.

Almost surely, 24220044642152 is an apocalyptic number.

It is an amenable number.

4220044642152 is an abundant number, since it is smaller than the sum of its proper divisors (7209242930538).

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

4220044642152 is a wasteful number, since it uses less digits than its factorization.

4220044642152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58611731153 (or 58611731146 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 4220044642152 in words is "four trillion, two hundred twenty billion, forty-four million, six hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 58611731141 117223462282 175835193423 234446924564 351670386846 468893849128 527505580269 703340773692 1055011160538 1406681547384 2110022321076 4220044642152