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14429553792 = 273237123011
BaseRepresentation
bin11010111000001000…
…11000010010000000
31101020121202021121020
431130010120102000
5214022431210132
610343455225440
71020402116643
oct153404302200
941217667536
1014429553792
11613511a375
122968518280
13148c5ca314
149ac571a5a
15596bd352c
hex35c118480

14429553792 has 128 divisors (see below), whose sum is σ = 40560030720. Its totient is φ = 4535731200.

The previous prime is 14429553791. The next prime is 14429553847. The reversal of 14429553792 is 29735592441.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (14429553791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615567 + ... + 638577.

It is an arithmetic number, because the mean of its divisors is an integer number (316875240).

Almost surely, 214429553792 is an apocalyptic number.

14429553792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14429553792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20280015360).

14429553792 is an abundant number, since it is smaller than the sum of its proper divisors (26130476928).

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

14429553792 is a wasteful number, since it uses less digits than its factorization.

14429553792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23122 (or 23110 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The spelling of 14429553792 in words is "fourteen billion, four hundred twenty-nine million, five hundred fifty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 71 92 96 128 138 142 184 192 213 276 284 368 384 426 552 568 736 852 1104 1136 1472 1633 1704 2208 2272 2944 3266 3408 4416 4544 4899 6532 6816 8832 9088 9798 13064 13632 19596 23011 26128 27264 39192 46022 52256 69033 78384 92044 104512 138066 156768 184088 209024 276132 313536 368176 529253 552264 627072 736352 1058506 1104528 1472704 1587759 1633781 2117012 2209056 2945408 3175518 3267562 4234024 4418112 4901343 6351036 6535124 8468048 8836224 9802686 12702072 13070248 16936096 19605372 25404144 26140496 33872192 37576963 39210744 50808288 52280992 67744384 75153926 78421488 101616576 104561984 112730889 150307852 156842976 203233152 209123968 225461778 300615704 313685952 450923556 601231408 627371904 901847112 1202462816 1803694224 2404925632 3607388448 4809851264 7214776896 14429553792