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31232443214340 = 223251779145189041
BaseRepresentation
bin1110001100111110111101…
…01011101110101000000100
311002120210101200000220211200
413012133132223232220010
513043203020430324330
6150231553014302500
76402320026021044
oct706373653565004
9132523350026750
1031232443214340
119a51671a6a285
123605082057a30
13145728c3285b4
1479d9305cb724
15392662d4da60
hex1c67deaeea04

31232443214340 has 288 divisors, whose sum is σ = 101652170780160. Its totient is φ = 7734085632000.

The previous prime is 31232443214327. The next prime is 31232443214381. The reversal of 31232443214340 is 4341234423213.

31232443214340 is a `hidden beast` number, since 3 + 1 + 2 + 32 + 443 + 2 + 143 + 40 = 666.

It is a super-2 number, since 2×312324432143402 (a number of 28 digits) contains 22 as substring.

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 = 31232443214295 and 31232443214304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 350720220 + ... + 350809260.

It is an arithmetic number, because the mean of its divisors is an integer number (352958926320).

Almost surely, 231232443214340 is an apocalyptic number.

31232443214340 is a gapful number since it is divisible by the number (30) 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 31232443214340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50826085390080).

31232443214340 is an abundant number, since it is smaller than the sum of its proper divisors (70419727565820).

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

31232443214340 is a wasteful number, since it uses less digits than its factorization.

31232443214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90603 (or 90598 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 31232443214340 its reverse (4341234423213), we get a palindrome (35573677637553).

The spelling of 31232443214340 in words is "thirty-one trillion, two hundred thirty-two billion, four hundred forty-three million, two hundred fourteen thousand, three hundred forty".