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431315513112 = 233112961979091
BaseRepresentation
bin1100100011011000110…
…10000110111100011000
31112020022010020021002210
412101230122012330120
524031313232404422
6530051004155120
743106254241031
oct6215432067430
91466263207083
10431315513112
11156a133a9950
126b712838aa0
1331899410463
1416c39209a88
15b345c7910c
hex646c686f18

431315513112 has 128 divisors (see below), whose sum is σ = 1217207865600. Its totient is φ = 126160473600.

The previous prime is 431315513093. The next prime is 431315513113. The reversal of 431315513112 is 211315513134.

It is a self number, because there is not a number n which added to its sum of digits gives 431315513112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431315513113) 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, 47439687 + ... + 47448777.

It is an arithmetic number, because the mean of its divisors is an integer number (9509436450).

Almost surely, 2431315513112 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 431315513112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608603932800).

431315513112 is an abundant number, since it is smaller than the sum of its proper divisors (785892352488).

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

431315513112 is a wasteful number, since it uses less digits than its factorization.

431315513112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15337 (or 15333 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The spelling of 431315513112 in words is "four hundred thirty-one billion, three hundred fifteen million, five hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 6197 7656 9091 12394 18182 18591 24788 27273 36364 37182 49576 54546 68167 72728 74364 100001 109092 136334 148728 179713 200002 204501 218184 263639 272668 300003 359426 400004 409002 527278 539139 545336 600006 718852 790917 800008 818004 1054556 1078278 1200012 1437704 1581834 1636008 1976843 2109112 2156556 2400024 2900029 3163668 3953686 4313112 5800058 5930529 6327336 7907372 8700087 11600116 11861058 15814744 17400174 23200232 23722116 34800348 47444232 56336927 69600696 112673854 169010781 225347708 338021562 450695416 619706197 676043124 1239412394 1352086248 1633770883 1859118591 2478824788 3267541766 3718237182 4901312649 4957649576 6535083532 7436474364 9802625298 13070167064 14872948728 17971479713 19605250596 35942959426 39210501192 53914439139 71885918852 107828878278 143771837704 215657756556 431315513112