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307424391138 = 232178934732531
BaseRepresentation
bin1000111100100111110…
…10111110111111100010
31002101111221020011201200
410132103322332333202
520014101121004023
6353121231342030
731132156131504
oct4362372767742
91071457204650
10307424391138
11109418066247
124b6b7981916
1322cb4036167
1410c451b1d74
157ee43a8743
hex4793ebefe2

307424391138 has 96 divisors (see below), whose sum is σ = 715269372480. Its totient is φ = 95085450240.

The previous prime is 307424391107. The next prime is 307424391163. The reversal of 307424391138 is 831193424703.

307424391138 is a `hidden beast` number, since 3 + 0 + 7 + 424 + 3 + 91 + 138 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 307424391093 and 307424391102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9433933 + ... + 9466463.

It is an arithmetic number, because the mean of its divisors is an integer number (7450722630).

Almost surely, 2307424391138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307424391138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357634686240).

307424391138 is an abundant number, since it is smaller than the sum of its proper divisors (407844981342).

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

307424391138 is a wasteful number, since it uses less digits than its factorization.

307424391138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32992 (or 32989 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 307424391138 in words is "three hundred seven billion, four hundred twenty-four million, three hundred ninety-one thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 89 102 153 178 267 306 347 534 694 801 1041 1513 1602 2082 3026 3123 4539 5899 6246 9078 11798 13617 17697 27234 30883 32531 35394 53091 61766 65062 92649 97593 106182 185298 195186 277947 292779 525011 553027 555894 585558 1050022 1106054 1575033 1659081 2895259 3150066 3318162 4725099 4977243 5790518 8685777 9450198 9954486 11288257 17371554 22576514 26057331 33864771 49219403 52114662 67729542 98438806 101594313 147658209 191900369 203188626 295316418 383800738 442974627 575701107 885949254 1004654873 1151402214 1727103321 2009309746 3013964619 3454206642 6027929238 9041893857 17079132841 18083787714 34158265682 51237398523 102474797046 153712195569 307424391138