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10132141040 = 245718093109
BaseRepresentation
bin10010110111110110…
…00011001111110000
3222011010102002112222
421123323003033300
5131222312003130
64353222540212
7506040530540
oct113373031760
928133362488
1010132141040
11432a36958a
121b69297668
13c561a5638
146c191d320
153e47b0ce5
hex25bec33f0

10132141040 has 40 divisors (see below), whose sum is σ = 26922547680. Its totient is φ = 3473876736.

The previous prime is 10132141037. The next prime is 10132141051. The reversal of 10132141040 is 4014123101.

It is a happy number.

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

It is a congruent number.

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, 9045995 + ... + 9047114.

It is an arithmetic number, because the mean of its divisors is an integer number (673063692).

Almost surely, 210132141040 is an apocalyptic number.

10132141040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132141040 is an abundant number, since it is smaller than the sum of its proper divisors (16790406640).

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

10132141040 is a wasteful number, since it uses less digits than its factorization.

10132141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18093129 (or 18093123 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10132141040 its reverse (4014123101), we get a palindrome (14146264141).

The spelling of 10132141040 in words is "ten billion, one hundred thirty-two million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 18093109 36186218 72372436 90465545 126651763 144744872 180931090 253303526 289489744 361862180 506607052 633258815 723724360 1013214104 1266517630 1447448720 2026428208 2533035260 5066070520 10132141040