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39142074192 = 243131913192503
BaseRepresentation
bin100100011101000011…
…001010011101010000
310202000212201101112120
4210131003022131100
51120130332333232
625552010254240
72553656066244
oct443503123520
9122025641476
1039142074192
1115666753751
127704727380
1338ca3ca860
141c74684424
15104151b92c
hex91d0ca750

39142074192 has 160 divisors (see below), whose sum is σ = 114759321600. Its totient is φ = 11396630016.

The previous prime is 39142074187. The next prime is 39142074193. The reversal of 39142074192 is 29147024193.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39142074193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15636813 + ... + 15639315.

It is an arithmetic number, because the mean of its divisors is an integer number (717245760).

Almost surely, 239142074192 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 39142074192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57379660800).

39142074192 is an abundant number, since it is smaller than the sum of its proper divisors (75617247408).

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

39142074192 is a wasteful number, since it uses less digits than its factorization.

39142074192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 39142074192 in words is "thirty-nine billion, one hundred forty-two million, seventy-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1319 1482 1976 2503 2638 2964 3952 3957 5006 5276 5928 7509 7914 10012 10552 11856 15018 15828 17147 20024 21104 25061 30036 31656 32539 34294 40048 47557 50122 51441 60072 63312 65078 68588 75183 95114 97617 100244 102882 120144 130156 137176 142671 150366 190228 195234 200488 205764 260312 274352 285342 300732 325793 380456 390468 400976 411528 520624 570684 601464 618241 651586 760912 780936 823056 977379 1141368 1202928 1236482 1303172 1561872 1854723 1954758 2282736 2472964 2606344 3301457 3709446 3909516 4945928 5212688 6602914 7418892 7819032 9891856 9904371 13205828 14837784 15638064 19808742 26411656 29675568 39617484 42918941 52823312 62727683 79234968 85837882 125455366 128756823 158469936 171675764 188183049 250910732 257513646 343351528 376366098 501821464 515027292 686703056 752732196 815459879 1003642928 1030054584 1505464392 1630919758 2060109168 2446379637 3010928784 3261839516 4892759274 6523679032 9785518548 13047358064 19571037096 39142074192