Search a number
-
+
402140253240 = 2332511337541557
BaseRepresentation
bin1011101101000010110…
…11010100110000111000
31102102222211211111111100
411312201123110300320
523042040401100430
6504423553131400
741024260516245
oct5664133246070
91372884744440
10402140253240
11145601764330
1265b2bb59b60
132bbc9b8108b
141566c52a5cc
15a6d9762960
hex5da16d4c38

402140253240 has 384 divisors, whose sum is σ = 1435216086720. Its totient is φ = 96845414400.

The previous prime is 402140253217. The next prime is 402140253293. The reversal of 402140253240 is 42352041204.

402140253240 is a `hidden beast` number, since 402 + 1 + 4 + 0 + 253 + 2 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 721975042 + ... + 721975598.

Almost surely, 2402140253240 is an apocalyptic number.

402140253240 is a gapful number since it is divisible by the number (40) 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 402140253240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717608043360).

402140253240 is an abundant number, since it is smaller than the sum of its proper divisors (1033075833480).

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

402140253240 is a wasteful number, since it uses less digits than its factorization.

402140253240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 402140253240 its reverse (42352041204), we get a palindrome (444492294444).

The spelling of 402140253240 in words is "four hundred two billion, one hundred forty million, two hundred fifty-three thousand, two hundred forty".