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317112744032 = 25729229213173
BaseRepresentation
bin1001001110101010110…
…01000111100001100000
31010022112010120111101122
410213111121013201200
520143421330302112
6401402442351412
731624230564350
oct4472531074140
91108463514348
10317112744032
11112539971167
12515604bb568
1323b992a8356
14114c3bacb60
1583aec06872
hex49d5647860

317112744032 has 96 divisors (see below), whose sum is σ = 741333902400. Its totient is φ = 130645444608.

The previous prime is 317112744031. The next prime is 317112744139. The reversal of 317112744032 is 230447211713.

It is a junction number, because it is equal to n+sod(n) for n = 317112743983 and 317112744001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317112744031) 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 15 ways as a sum of consecutive naturals, for example, 1380998 + ... + 1594170.

It is an arithmetic number, because the mean of its divisors is an integer number (7722228150).

Almost surely, 2317112744032 is an apocalyptic number.

317112744032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317112744032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370666951200).

317112744032 is an abundant number, since it is smaller than the sum of its proper divisors (424221158368).

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

317112744032 is a wasteful number, since it uses less digits than its factorization.

317112744032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213448 (or 213440 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

Adding to 317112744032 its reverse (230447211713), we get a palindrome (547559955745).

The spelling of 317112744032 in words is "three hundred seventeen billion, one hundred twelve million, seven hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 229 232 406 458 464 812 916 928 1603 1624 1832 3206 3248 3664 6412 6496 6641 7328 12824 13282 25648 26564 46487 51296 53128 92974 106256 185948 212512 213173 371896 426346 743792 852692 1487584 1492211 1705384 2984422 3410768 5968844 6182017 6821536 11937688 12364034 23875376 24728068 43274119 47750752 48816617 49456136 86548238 97633234 98912272 173096476 195266468 197824544 341716319 346192952 390532936 683432638 692385904 781065872 1366865276 1384771808 1415681893 1562131744 2733730552 2831363786 5467461104 5662727572 9909773251 10934922208 11325455144 19819546502 22650910288 39639093004 45301820576 79278186008 158556372016 317112744032