Search a number
-
+
40026254247252 = 2232713217337164051
BaseRepresentation
bin10010001100111010101101…
…01010101000010101010100
312020201110202110220221220100
421012131112222220111110
520221242232041403002
6221043450215534100
711300541615340440
oct1106352652502524
9166643673827810
1040026254247252
1111832048049679
1245a543368a330
1319445c8909b00
149c53d1273820
15496294a9311c
hex246756aa8554

40026254247252 has 432 divisors, whose sum is σ = 132969857634432. Its totient is φ = 9905869209600.

The previous prime is 40026254247233. The next prime is 40026254247253. The reversal of 40026254247252 is 25274245262004.

It is a happy number.

40026254247252 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 62 + 542 + 47 + 2 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40026254247198 and 40026254247207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40026254247253) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 243904627 + ... + 244068677.

It is an arithmetic number, because the mean of its divisors is an integer number (307800596376).

Almost surely, 240026254247252 is an apocalyptic number.

40026254247252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40026254247252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66484928817216).

40026254247252 is an abundant number, since it is smaller than the sum of its proper divisors (92943603387180).

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

40026254247252 is a wasteful number, since it uses less digits than its factorization.

40026254247252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164448 (or 164430 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 45.

The spelling of 40026254247252 in words is "forty trillion, twenty-six billion, two hundred fifty-four million, two hundred forty-seven thousand, two hundred fifty-two".