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139640304024 = 233313461107873
BaseRepresentation
bin1000001000001100110…
…1011111000110011000
3111100102202212102122000
42002003031133012120
54241440404212044
6144052212201000
713042262666664
oct2020315370630
9440382772560
10139640304024
1154248347241
1223091309160
13102251c2740
146a899598a4
15397436ed69
hex208335f198

139640304024 has 128 divisors (see below), whose sum is σ = 418637419200. Its totient is φ = 42872647680.

The previous prime is 139640304007. The next prime is 139640304029. The reversal of 139640304024 is 420403046931.

It is a happy number.

139640304024 is a `hidden beast` number, since 1 + 3 + 9 + 640 + 3 + 0 + 4 + 0 + 2 + 4 = 666.

139640304024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 139640304024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139640304029) 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, 1240552 + ... + 1348424.

Almost surely, 2139640304024 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 139640304024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209318709600).

139640304024 is an abundant number, since it is smaller than the sum of its proper divisors (278997115176).

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

139640304024 is a wasteful number, since it uses less digits than its factorization.

139640304024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108362 (or 108352 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 139640304024 in words is "one hundred thirty-nine billion, six hundred forty million, three hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 461 468 702 922 936 1383 1404 1844 2766 2808 3688 4149 5532 5993 8298 11064 11986 12447 16596 17979 23972 24894 33192 35958 47944 49788 53937 71916 99576 107873 107874 143832 161811 215746 215748 323619 323622 431492 431496 647238 647244 862984 970857 1294476 1294488 1402349 1941714 2588952 2804698 2912571 3883428 4207047 5609396 5825142 7766856 8414094 11218792 11650284 12621141 16828188 23300568 25242282 33656376 37863423 49729453 50484564 75726846 99458906 100969128 149188359 151453692 198917812 298376718 302907384 397835624 447565077 596753436 646482889 895130154 1193506872 1292965778 1342695231 1790260308 1939448667 2585931556 2685390462 3580520616 3878897334 5171863112 5370780924 5818346001 7757794668 10741561848 11636692002 15515589336 17455038003 23273384004 34910076006 46546768008 69820152012 139640304024