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1314381024 = 253211414893
BaseRepresentation
bin100111001010111…
…1101110011100000
310101121020110210200
41032111331303200
510142440143044
6334231425200
744400024435
oct11625756340
93347213720
101314381024
11614a2aa10
12308225200
1317c401968
14c67c5b8c
157a5d1369
hex4e57dce0

1314381024 has 72 divisors (see below), whose sum is σ = 4077578232. Its totient is φ = 398296320.

The previous prime is 1314380999. The next prime is 1314381037. The reversal of 1314381024 is 4201834131.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 204279 + ... + 210614.

It is an arithmetic number, because the mean of its divisors is an integer number (56633031).

Almost surely, 21314381024 is an apocalyptic number.

It is an amenable number.

1314381024 is an abundant number, since it is smaller than the sum of its proper divisors (2763197208).

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

1314381024 is a wasteful number, since it uses less digits than its factorization.

1314381024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414920 (or 414909 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1314381024 is about 36254.3931682769. The cubic root of 1314381024 is about 1095.4025816888.

The spelling of 1314381024 in words is "one billion, three hundred fourteen million, three hundred eighty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 414893 829786 1244679 1659572 2489358 3319144 3734037 4563823 4978716 6638288 7468074 9127646 9957432 13276576 13691469 14936148 18255292 19914864 27382938 29872296 36510584 39829728 41074407 54765876 59744592 73021168 82148814 109531752 119489184 146042336 164297628 219063504 328595256 438127008 657190512 1314381024