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424000240002216 = 23325888892222253
BaseRepresentation
bin110000001101000000011111…
…1101100001010010010101000
32001121021000201202000200212200
41200122000333230022102220
5421033304442420032331
64101435004331140200
7155211002131652313
oct14032007754122250
92047230652020780
10424000240002216
111131105458aa539
123b67a1065a4660
131527808827c057
14769ba14a3b97a
15340434507b5e6
hex181a03fb0a4a8

424000240002216 has 24 divisors (see below), whose sum is σ = 1148333983339530. Its totient is φ = 141333413334048.

The previous prime is 424000240002211. The next prime is 424000240002223. The reversal of 424000240002216 is 612200042000424.

424000240002216 is a `hidden beast` number, since 4 + 2 + 40 + 0 + 0 + 2 + 400 + 0 + 2 + 216 = 666.

It can be written as a sum of positive squares in only one way, i.e., 334361192518116 + 89639047484100 = 18285546^2 + 9467790^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 424000240002216.

It is not an unprimeable number, because it can be changed into a prime (424000240002211) 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, 2944446111055 + ... + 2944446111198.

Almost surely, 2424000240002216 is an apocalyptic number.

It is an amenable number.

424000240002216 is an abundant number, since it is smaller than the sum of its proper divisors (724333743337314).

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

424000240002216 is a wasteful number, since it uses less digits than its factorization.

424000240002216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888892222265 (or 5888892222258 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 424000240002216 in words is "four hundred twenty-four trillion, two hundred forty million, two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5888892222253 11777784444506 17666676666759 23555568889012 35333353333518 47111137778024 53000030000277 70666706667036 106000060000554 141333413334072 212000120001108 424000240002216