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1334214314244 = 223372252119107
BaseRepresentation
bin10011011010100101010…
…111101100100100000100
311201112211200121200221000
4103122211113230210010
5133324432331023434
62500532443053300
7165252034356600
oct23324527544404
94645750550830
101334214314244
11474923219959
121966b5811230
1398a7b60a6b6
144880d5b4500
1524a8ca09b99
hex136a55ec904

1334214314244 has 72 divisors (see below), whose sum is σ = 4023820963680. Its totient is φ = 381204088272.

The previous prime is 1334214314243. The next prime is 1334214314309. The reversal of 1334214314244 is 4424134124331.

1334214314244 is a `hidden beast` number, since 1 + 334 + 2 + 1 + 4 + 314 + 2 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1334214314199 and 1334214314208.

It is not an unprimeable number, because it can be changed into a prime (1334214314243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126054262 + ... + 126064845.

Almost surely, 21334214314244 is an apocalyptic number.

1334214314244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1334214314244 is an abundant number, since it is smaller than the sum of its proper divisors (2689606649436).

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

1334214314244 is a wasteful number, since it uses less digits than its factorization.

1334214314244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252119134 (or 252119119 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 1334214314244 its reverse (4424134124331), we get a palindrome (5758348438575).

The spelling of 1334214314244 in words is "one trillion, three hundred thirty-four billion, two hundred fourteen million, three hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 252119107 504238214 756357321 1008476428 1512714642 1764833749 2269071963 3025429284 3529667498 4538143926 5294501247 6807215889 7059334996 9076287852 10589002494 12353836243 13614431778 15883503741 21178004988 24707672486 27228863556 31767007482 37061508729 47650511223 49415344972 63534014964 74123017458 95301022446 111184526187 148246034916 190602044892 222369052374 333553578561 444738104748 667107157122 1334214314244