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31240440412344 = 233217231109705897
BaseRepresentation
bin1110001101001101110110…
…10110100111100010111000
311002121120001000011200010100
413012212323112213202320
513043320410221143334
6150235354334115400
76403022144051112
oct706467326474270
9132546030150110
1031240440412344
119a54aa61a3529
12360673434bb60
131457c650ca217
147a008c7663b2
1539297ee93c99
hex1c69bb5a78b8

31240440412344 has 96 divisors (see below), whose sum is σ = 93481624847520. Its totient is φ = 9374795409408.

The previous prime is 31240440412319. The next prime is 31240440412369. The reversal of 31240440412344 is 44321404404213.

31240440412344 is a `hidden beast` number, since 3 + 1 + 240 + 4 + 404 + 1 + 2 + 3 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (31240440412319) and next prime (31240440412369).

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

It is a junction number, because it is equal to n+sod(n) for n = 31240440412299 and 31240440412308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554824797 + ... + 554881100.

It is an arithmetic number, because the mean of its divisors is an integer number (973766925495).

Almost surely, 231240440412344 is an apocalyptic number.

31240440412344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31240440412344 is an abundant number, since it is smaller than the sum of its proper divisors (62241184435176).

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

31240440412344 is a wasteful number, since it uses less digits than its factorization.

31240440412344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109705949 (or 1109705942 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 31240440412344 its reverse (44321404404213), we get a palindrome (75561844816557).

The spelling of 31240440412344 in words is "thirty-one trillion, two hundred forty billion, four hundred forty million, four hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 34 36 46 51 68 69 72 92 102 136 138 153 184 204 207 276 306 391 408 414 552 612 782 828 1173 1224 1564 1656 2346 3128 3519 4692 7038 9384 14076 28152 1109705897 2219411794 3329117691 4438823588 6658235382 8877647176 9987353073 13316470764 18865000249 19974706146 25523235631 26632941528 37730000498 39949412292 51046471262 56595000747 75460000996 76569706893 79898824584 102092942524 113190001494 150920001992 153139413786 169785002241 204185885048 226380002988 229709120679 306278827572 339570004482 433895005727 452760005976 459418241358 612557655144 679140008964 867790011454 918836482716 1301685017181 1358280017928 1735580022908 1837672965432 2603370034362 3471160045816 3905055051543 5206740068724 7810110103086 10413480137448 15620220206172 31240440412344