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39073119140 = 22511217393329
BaseRepresentation
bin100100011000111100…
…000111101110100100
310201212001222002222202
4210120330013232210
51120010204303030
625541104314032
72552161014146
oct443074075644
9121761862882
1039073119140
1115630836800
1276a5612918
1338b9036853
141c69454c96
15103a44a745
hex918f07ba4

39073119140 has 72 divisors (see below), whose sum is σ = 90713400120. Its totient is φ = 14126126080.

The previous prime is 39073119133. The next prime is 39073119143. The reversal of 39073119140 is 4191137093.

It can be written as a sum of positive squares in 4 ways, for example, as 6900957184 + 32172161956 = 83072^2 + 179366^2 .

It is a junction number, because it is equal to n+sod(n) for n = 39073119094 and 39073119103.

It is not an unprimeable number, because it can be changed into a prime (39073119143) 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 23 ways as a sum of consecutive naturals, for example, 371996 + ... + 465324.

It is an arithmetic number, because the mean of its divisors is an integer number (1259908335).

Almost surely, 239073119140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39073119140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45356700060).

39073119140 is an abundant number, since it is smaller than the sum of its proper divisors (51640280980).

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

39073119140 is a wasteful number, since it uses less digits than its factorization.

39073119140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93533 (or 93520 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 38.

The spelling of 39073119140 in words is "thirty-nine billion, seventy-three million, one hundred nineteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 173 220 242 346 484 605 692 865 1210 1730 1903 2420 3460 3806 7612 9515 19030 20933 38060 41866 83732 93329 104665 186658 209330 373316 418660 466645 933290 1026619 1866580 2053238 4106476 5133095 10266190 11292809 16145917 20532380 22585618 32291834 45171236 56464045 64583668 80729585 112928090 161459170 177605087 225856180 322918340 355210174 710420348 888025435 1776050870 1953655957 3552101740 3907311914 7814623828 9768279785 19536559570 39073119140