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38315372440 = 23517919926891
BaseRepresentation
bin100011101011110001…
…100010111110011000
310122220021010120221011
4203223301202332120
51111432213404230
625333555223304
72524330202122
oct435361427630
9118807116834
1038315372440
1115282035464
1275138a7b34
1337c8059017
141bd6968212
15ee3b6ce2a
hex8ebc62f98

38315372440 has 64 divisors (see below), whose sum is σ = 87130080000. Its totient is φ = 15163378560.

The previous prime is 38315372413. The next prime is 38315372441. The reversal of 38315372440 is 4427351383.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 38315372393 and 38315372402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38315372441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1411395 + ... + 1438285.

It is an arithmetic number, because the mean of its divisors is an integer number (1361407500).

Almost surely, 238315372440 is an apocalyptic number.

It is an amenable number.

38315372440 is an abundant number, since it is smaller than the sum of its proper divisors (48814707560).

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

38315372440 is a wasteful number, since it uses less digits than its factorization.

38315372440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27280 (or 27276 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 38315372440 in words is "thirty-eight billion, three hundred fifteen million, three hundred seventy-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 179 199 358 398 716 796 895 995 1432 1592 1790 1990 3580 3980 7160 7960 26891 35621 53782 71242 107564 134455 142484 178105 215128 268910 284968 356210 537820 712420 1075640 1424840 4813489 5351309 9626978 10702618 19253956 21405236 24067445 26756545 38507912 42810472 48134890 53513090 96269780 107026180 192539560 214052360 957884311 1915768622 3831537244 4789421555 7663074488 9578843110 19157686220 38315372440