Search a number
-
+
10042011432 = 2332139472381
BaseRepresentation
bin10010101101000110…
…01110111100101000
3221220211211000222100
421112203032330220
5131031223331212
64340243053400
7503564455155
oct112643167450
927824730870
1010042011432
1142934a9902
121b43071260
13c406096cb
146b397b22c
153db90abdc
hex2568cef28

10042011432 has 24 divisors (see below), whose sum is σ = 27197114490. Its totient is φ = 3347337120.

The previous prime is 10042011409. The next prime is 10042011449. The reversal of 10042011432 is 23411024001.

10042011432 is a `hidden beast` number, since 100 + 420 + 1 + 143 + 2 = 666.

10042011432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8852175396 + 1189836036 = 94086^2 + 34494^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69736119 + ... + 69736262.

Almost surely, 210042011432 is an apocalyptic number.

10042011432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10042011432 is an abundant number, since it is smaller than the sum of its proper divisors (17155103058).

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

10042011432 is a wasteful number, since it uses less digits than its factorization.

10042011432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139472393 (or 139472386 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10042011432 its reverse (23411024001), we get a palindrome (33453035433).

The spelling of 10042011432 in words is "ten billion, forty-two million, eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139472381 278944762 418417143 557889524 836834286 1115779048 1255251429 1673668572 2510502858 3347337144 5021005716 10042011432