Search a number
-
+
40023357066 = 23371122693253
BaseRepresentation
bin100101010001100100…
…111111011010001010
310211022022000012101000
4211101210333122022
51123431434411231
630215251235430
72614546631130
oct452144773212
9124268005330
1040023357066
1115a79161600
12790b8a8b76
133a0ab6ca04
141d1972b750
151093a9c6e6
hex95193f68a

40023357066 has 192 divisors, whose sum is σ = 112177094400. Its totient is φ = 10353847680.

The previous prime is 40023357047. The next prime is 40023357097. The reversal of 40023357066 is 66075332004.

40023357066 is a `hidden beast` number, since 4 + 0 + 0 + 23 + 3 + 570 + 66 = 666.

40023357066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×400233570662 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40023357066.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12301896 + ... + 12305148.

It is an arithmetic number, because the mean of its divisors is an integer number (584255700).

Almost surely, 240023357066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40023357066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56088547200).

40023357066 is an abundant number, since it is smaller than the sum of its proper divisors (72153737334).

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

40023357066 is a wasteful number, since it uses less digits than its factorization.

40023357066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3562 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 40023357066 in words is "forty billion, twenty-three million, three hundred fifty-seven thousand, sixty-six".