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10142402320 = 245317399937
BaseRepresentation
bin10010111001000100…
…01100011100010000
3222011211201102101101
421130202030130100
5131232423333240
64354230514144
7506223666031
oct113442143420
928154642341
1010142402320
114335137a86
121b70805954
13c583590bb
146c3030a88
153e563b39a
hex25c88c710

10142402320 has 40 divisors (see below), whose sum is σ = 23655532824. Its totient is φ = 4044152832.

The previous prime is 10142402269. The next prime is 10142402321. The reversal of 10142402320 is 2320424101.

It can be written as a sum of positive squares in 4 ways, for example, as 1106704 + 10141295616 = 1052^2 + 100704^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (10142402321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174609 + ... + 225328.

Almost surely, 210142402320 is an apocalyptic number.

10142402320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142402320 is an abundant number, since it is smaller than the sum of its proper divisors (13513130504).

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

10142402320 is a wasteful number, since it uses less digits than its factorization.

10142402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400267 (or 400261 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10142402320 its reverse (2320424101), we get a palindrome (12462826421).

The spelling of 10142402320 in words is "ten billion, one hundred forty-two million, four hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 317 634 1268 1585 2536 3170 5072 6340 12680 25360 399937 799874 1599748 1999685 3199496 3999370 6398992 7998740 15997480 31994960 126780029 253560058 507120116 633900145 1014240232 1267800290 2028480464 2535600580 5071201160 10142402320