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1334000435104 = 2519352311621
BaseRepresentation
bin10011011010011000100…
…111110011111110100000
311201112021210011111220101
4103122120213303332200
5133324013102410404
62500455322552144
7165243526415341
oct23323047637640
94645253144811
101334000435104
11474823517337
12196656068654
1398a46203cac
14487cd01c0c8
1524a78d5d2a4
hex136989f3fa0

1334000435104 has 96 divisors (see below), whose sum is σ = 2777737959360. Its totient is φ = 630632459520.

The previous prime is 1334000435101. The next prime is 1334000435113. The reversal of 1334000435104 is 4015340004331.

It is a super-2 number, since 2×13340004351042 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1334000435101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114786414 + ... + 114798034.

It is an arithmetic number, because the mean of its divisors is an integer number (28934770410).

Almost surely, 21334000435104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334000435104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388868979680).

1334000435104 is an abundant number, since it is smaller than the sum of its proper divisors (1443737524256).

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

1334000435104 is an equidigital number, since it uses as much as digits as its factorization.

1334000435104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12211 (or 12165 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 1334000435104 its reverse (4015340004331), we get a palindrome (5349340439435).

The spelling of 1334000435104 in words is "one trillion, three hundred thirty-four billion, four hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 523 608 722 1046 1444 2092 2888 4184 5776 6859 8368 9937 11552 11621 13718 16736 19874 23242 27436 39748 46484 54872 79496 92968 109744 158992 185936 188803 219488 220799 317984 371872 377606 441598 755212 883196 1510424 1766392 3020848 3532784 3587257 4195181 6041696 6077783 7065568 7174514 8390362 12155566 14349028 16780724 24311132 28698056 33561448 48622264 57396112 67122896 79708439 97244528 114792224 115477877 134245792 159416878 194489056 230955754 318833756 461911508 637667512 923823016 1275335024 1847646032 2194079663 2550670048 3695292064 4388159326 8776318652 17552637304 35105274608 41687513597 70210549216 83375027194 166750054388 333500108776 667000217552 1334000435104