Search a number
-
+
10142404340 = 2251729830601
BaseRepresentation
bin10010111001000100…
…01100111011110100
3222011211201112011012
421130202030323310
5131232423414330
64354230531352
7506224004645
oct113442147364
928154645135
1010142404340
114335139552
121b70806b58
13c58359cb3
146c30316cc
153e563bc95
hex25c88cef4

10142404340 has 24 divisors (see below), whose sum is σ = 22551935112. Its totient is φ = 3818316800.

The previous prime is 10142404333. The next prime is 10142404351. The reversal of 10142404340 is 4340424101.

It is a happy number.

10142404340 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 4 ways, for example, as 996159844 + 9146244496 = 31562^2 + 95636^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 14914961 + ... + 14915640.

It is an arithmetic number, because the mean of its divisors is an integer number (939663963).

Almost surely, 210142404340 is an apocalyptic number.

10142404340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142404340 is an abundant number, since it is smaller than the sum of its proper divisors (12409530772).

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

10142404340 is a wasteful number, since it uses less digits than its factorization.

10142404340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29830627 (or 29830625 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10142404340 its reverse (4340424101), we get a palindrome (14482828441).

The spelling of 10142404340 in words is "ten billion, one hundred forty-two million, four hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 29830601 59661202 119322404 149153005 298306010 507120217 596612020 1014240434 2028480868 2535601085 5071202170 10142404340