Search a number
-
+
420132131304 = 233102117145451
BaseRepresentation
bin1100001110100011101…
…00111001000111101000
31111011102201201121022120
412013101310321013220
523340412311200204
6521001145351240
742232160123244
oct6072164710750
91434381647276
10420132131304
111521a46a9646
1269511498520
13308064c9882
1416497c41424
15adde0646d9
hex61d1d391e8

420132131304 has 32 divisors (see below), whose sum is σ = 1051359116640. Its totient is φ = 139906872000.

The previous prime is 420132131261. The next prime is 420132131323. The reversal of 420132131304 is 403131231024.

It is a happy number.

It is a super-2 number, since 2×4201321313042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 8548222 + ... + 8597229.

It is an arithmetic number, because the mean of its divisors is an integer number (32854972395).

Almost surely, 2420132131304 is an apocalyptic number.

It is an amenable number.

420132131304 is an abundant number, since it is smaller than the sum of its proper divisors (631226985336).

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

420132131304 is a wasteful number, since it uses less digits than its factorization.

420132131304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17146481 (or 17146477 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 420132131304 its reverse (403131231024), we get a palindrome (823263362328).

The spelling of 420132131304 in words is "four hundred twenty billion, one hundred thirty-two million, one hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 1021 2042 3063 4084 6126 8168 12252 24504 17145451 34290902 51436353 68581804 102872706 137163608 205745412 411490824 17505505471 35011010942 52516516413 70022021884 105033032826 140044043768 210066065652 420132131304