Search a number
BaseRepresentation
bin11101100000111101111…
…10101001110001001000
310120221122121022112200000
432300132332221301020
5113103420244203334
62053515200443000
7133161064650240
oct16603676516110
93527577275600
101014132022344
113611000a7501
12144666919460
137482b05083c
1437127288b20
151b5a7277299
hexec1efa9c48

1014132022344 has 192 divisors, whose sum is σ = 3367489507200. Its totient is φ = 279760449024.

The previous prime is 1014132022273. The next prime is 1014132022427. The reversal of 1014132022344 is 4432202314101.

Adding to 1014132022344 its reverse (4432202314101), we get a palindrome (5446334336445).

1014132022344 is a `hidden beast` number, since 1 + 0 + 1 + 413 + 20 + 223 + 4 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890277 + ... + 1679540.

It is an arithmetic number, because the mean of its divisors is an integer number (17539007850).

Almost surely, 21014132022344 is an apocalyptic number.

1014132022344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1014132022344 is an abundant number, since it is smaller than the sum of its proper divisors (2353357484856).

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

1014132022344 is a wasteful number, since it uses less digits than its factorization.

1014132022344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569874 (or 2569858 counting only the distinct ones).

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

The spelling of 1014132022344 in words is "one trillion, fourteen billion, one hundred thirty-two million, twenty-two thousand, three hundred forty-four".