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10142343440 = 245126779293
BaseRepresentation
bin10010111001000011…
…11110000100010000
3222011211121102121122
421130201332010100
5131232414442230
64354225341412
7506223332255
oct113441760420
928154542548
1010142343440
1143350a7819
121b70797868
13c58338368
146c301742c
153e5628be5
hex25c87e110

10142343440 has 20 divisors (see below), whose sum is σ = 23580948684. Its totient is φ = 4056937344.

The previous prime is 10142343437. The next prime is 10142343457. The reversal of 10142343440 is 4434324101.

It can be written as a sum of positive squares in 2 ways, for example, as 2522450176 + 7619893264 = 50224^2 + 87292^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×101423434402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63389567 + ... + 63389726.

Almost surely, 210142343440 is an apocalyptic number.

10142343440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142343440 is an abundant number, since it is smaller than the sum of its proper divisors (13438605244).

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

10142343440 is a wasteful number, since it uses less digits than its factorization.

10142343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126779306 (or 126779300 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10142343440 its reverse (4434324101), we get a palindrome (14576667541).

The spelling of 10142343440 in words is "ten billion, one hundred forty-two million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 126779293 253558586 507117172 633896465 1014234344 1267792930 2028468688 2535585860 5071171720 10142343440