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1140322412232 = 23356744319763
BaseRepresentation
bin10000100110000000100…
…000110010011011001000
311001000101000210112200000
4100212000200302123020
5122140340014142412
62231505030443000
7145246152401463
oct20460040623310
94030330715600
101140322412232
113aa676301123
12165003803460
13836bb8a49b3
143d2988002da
151e9e09224dc
hex109808326c8

1140322412232 has 192 divisors, whose sum is σ = 3258062196480. Its totient is φ = 373570097472.

The previous prime is 1140322412147. The next prime is 1140322412321. The reversal of 1140322412232 is 2322142230411.

1140322412232 is a `hidden beast` number, since 1 + 1 + 403 + 2 + 24 + 1 + 2 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1140322412196 and 1140322412205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57689983 + ... + 57709745.

It is an arithmetic number, because the mean of its divisors is an integer number (16969073940).

Almost surely, 21140322412232 is an apocalyptic number.

1140322412232 is a gapful number since it is divisible by the number (12) 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 1140322412232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629031098240).

1140322412232 is an abundant number, since it is smaller than the sum of its proper divisors (2117739784248).

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

1140322412232 is a wasteful number, since it uses less digits than its factorization.

1140322412232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20294 (or 20278 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1140322412232 its reverse (2322142230411), we get a palindrome (3462464642643).

The spelling of 1140322412232 in words is "one trillion, one hundred forty billion, three hundred twenty-two million, four hundred twelve thousand, two hundred thirty-two".