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1334014000 = 24531160637
BaseRepresentation
bin100111110000011…
…0111000000110000
310102222011221011221
41033200313000300
510213001422000
6340212314424
745025634434
oct11740670060
93388157157
101334014000
1162501a510
12312912a14
131834b6cc7
14c92569c4
157c1ad61a
hex4f837030

1334014000 has 80 divisors (see below), whose sum is σ = 3518944416. Its totient is φ = 485088000.

The previous prime is 1334013991. The next prime is 1334014027. The reversal of 1334014000 is 4104331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 8319 + ... + 52318.

Almost surely, 21334014000 is an apocalyptic number.

1334014000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334014000 is an abundant number, since it is smaller than the sum of its proper divisors (2184930416).

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

1334014000 is a wasteful number, since it uses less digits than its factorization.

1334014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60671 (or 60655 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1334014000 is about 36524.1563899839. The cubic root of 1334014000 is about 1100.8296770875.

Adding to 1334014000 its reverse (4104331), we get a palindrome (1338118331).

The spelling of 1334014000 in words is "one billion, three hundred thirty-four million, fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 60637 121274 242548 303185 485096 606370 667007 970192 1212740 1334014 1515925 2425480 2668028 3031850 3335035 4850960 5336056 6063700 6670070 7579625 10672112 12127400 13340140 15159250 16675175 24254800 26680280 30318500 33350350 53360560 60637000 66700700 83375875 121274000 133401400 166751750 266802800 333503500 667007000 1334014000