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10293442940 = 22511137341521
BaseRepresentation
bin10011001011000100…
…10111100101111100
3222120100221002011102
421211202113211330
5132040110133230
64421224112232
7513036551504
oct114542274574
928510832142
1010293442940
114402420040
121bb3305678
13c80730851
146d910aa04
15403a24045
hex26589797c

10293442940 has 48 divisors (see below), whose sum is σ = 23753538144. Its totient is φ = 3715737600.

The previous prime is 10293442933. The next prime is 10293442949. The reversal of 10293442940 is 4924439201.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10293442894 and 10293442903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10293442949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140621 + ... + 200900.

It is an arithmetic number, because the mean of its divisors is an integer number (494865378).

Almost surely, 210293442940 is an apocalyptic number.

10293442940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10293442940 is an abundant number, since it is smaller than the sum of its proper divisors (13460095204).

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

10293442940 is a wasteful number, since it uses less digits than its factorization.

10293442940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341678 (or 341676 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 10293442940 in words is "ten billion, two hundred ninety-three million, four hundred forty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 137 220 274 548 685 1370 1507 2740 3014 6028 7535 15070 30140 341521 683042 1366084 1707605 3415210 3756731 6830420 7513462 15026924 18783655 37567310 46788377 75134620 93576754 187153508 233941885 467883770 514672147 935767540 1029344294 2058688588 2573360735 5146721470 10293442940