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10315378440 = 2332528653829
BaseRepresentation
bin10011001101101100…
…00010111100001000
3222121220012112000100
421212312002330020
5132111214102230
64423330205400
7513424161423
oct114666027410
928556175010
1010315378440
114413842554
121bba723860
13c85140c33
146dbdba9ba
15405908660
hex266d82f08

10315378440 has 48 divisors (see below), whose sum is σ = 33524981100. Its totient is φ = 2750767488.

The previous prime is 10315378429. The next prime is 10315378441. The reversal of 10315378440 is 4487351301.

It is a happy number.

10315378440 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 537 + 84 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9479359044 + 836019396 = 97362^2 + 28914^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10315378395 and 10315378404.

It is not an unprimeable number, because it can be changed into a prime (10315378441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14326555 + ... + 14327274.

Almost surely, 210315378440 is an apocalyptic number.

10315378440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10315378440 is an abundant number, since it is smaller than the sum of its proper divisors (23209602660).

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

10315378440 is a wasteful number, since it uses less digits than its factorization.

10315378440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28653846 (or 28653839 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10315378440 in words is "ten billion, three hundred fifteen million, three hundred seventy-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 28653829 57307658 85961487 114615316 143269145 171922974 229230632 257884461 286538290 343845948 429807435 515768922 573076580 687691896 859614870 1031537844 1146153160 1289422305 1719229740 2063075688 2578844610 3438459480 5157689220 10315378440