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10311909040 = 245472742529
BaseRepresentation
bin10011001101010001…
…10011111010110000
3222121122200020220001
421212220303322300
5132104322042130
64423123555344
7513352531516
oct114650637260
928548606801
1010311909040
114411892984
121bb952bb54
13c844c7a34
146db7564b6
154054706ca
hex266a33eb0

10311909040 has 40 divisors (see below), whose sum is σ = 24485307840. Its totient is φ = 4037001216.

The previous prime is 10311909019. The next prime is 10311909061. The reversal of 10311909040 is 4090911301.

It is a happy number.

10311909040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10311909019) and next prime (10311909061).

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

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, 1367505 + ... + 1375024.

It is an arithmetic number, because the mean of its divisors is an integer number (612132696).

Almost surely, 210311909040 is an apocalyptic number.

10311909040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10311909040 is an abundant number, since it is smaller than the sum of its proper divisors (14173398800).

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

10311909040 is a wasteful number, since it uses less digits than its factorization.

10311909040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742589 (or 2742583 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The spelling of 10311909040 in words is "ten billion, three hundred eleven million, nine hundred nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 2742529 5485058 10970116 13712645 21940232 27425290 43880464 54850580 109701160 128898863 219402320 257797726 515595452 644494315 1031190904 1288988630 2062381808 2577977260 5155954520 10311909040