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1334136414 = 2313191376571
BaseRepresentation
bin100111110000101…
…0100111001011110
310102222102011002210
41033201110321132
510213014331124
6340215101250
745026654352
oct11741247136
93388364083
101334136414
116250a3486
12312971826
1318352a940
14c9289462
157c1d4a29
hex4f854e5e

1334136414 has 64 divisors (see below), whose sum is σ = 3047304960. Its totient is φ = 386000640.

The previous prime is 1334136373. The next prime is 1334136451. The reversal of 1334136414 is 4146314331.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199749 + ... + 206319.

It is an arithmetic number, because the mean of its divisors is an integer number (47614140).

Almost surely, 21334136414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334136414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523652480).

1334136414 is an abundant number, since it is smaller than the sum of its proper divisors (1713168546).

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

1334136414 is a wasteful number, since it uses less digits than its factorization.

1334136414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6745.

The product of its digits is 10368, while the sum is 30.

The square root of 1334136414 is about 36525.8321465781. The cubic root of 1334136414 is about 1100.8633481090.

The spelling of 1334136414 in words is "one billion, three hundred thirty-four million, one hundred thirty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 137 247 274 411 494 741 822 1482 1781 2603 3562 5206 5343 6571 7809 10686 13142 15618 19713 33839 39426 67678 85423 101517 124849 170846 203034 249698 256269 374547 512538 749094 900227 1623037 1800454 2700681 3246074 4869111 5401362 9738222 11702951 17104313 23405902 34208626 35108853 51312939 70217706 102625878 222356069 444712138 667068207 1334136414