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10132531440 = 243542218881
BaseRepresentation
bin10010110111111001…
…00010100011110000
3222011011010221002020
421123330202203300
5131222412001230
64353235151440
7506044044663
oct113374424360
928134127066
1010132531440
11432a605929
121b69445580
13c562b1245
146c19c16da
153e483b810
hex25bf228f0

10132531440 has 40 divisors (see below), whose sum is σ = 31410848208. Its totient is φ = 2702008320.

The previous prime is 10132531429. The next prime is 10132531441. The reversal of 10132531440 is 4413523101.

It is a happy number.

10132531440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10132531440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132531441) by changing a digit.

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, 21109201 + ... + 21109680.

Almost surely, 210132531440 is an apocalyptic number.

10132531440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132531440 is an abundant number, since it is smaller than the sum of its proper divisors (21278316768).

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

10132531440 is a wasteful number, since it uses less digits than its factorization.

10132531440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42218897 (or 42218891 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 10132531440 in words is "ten billion, one hundred thirty-two million, five hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 42218881 84437762 126656643 168875524 211094405 253313286 337751048 422188810 506626572 633283215 675502096 844377620 1013253144 1266566430 1688755240 2026506288 2533132860 3377510480 5066265720 10132531440