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13998358024 = 237235710097
BaseRepresentation
bin11010000100101110…
…11111111000001000
31100010120101021012121
431002113133320020
5212132034424044
610233013221024
71003615036300
oct150227377010
940116337177
1013998358024
115a33787632
122868031774
1314211856b1
1496b1aa600
1556de0b984
hex3425dfe08

13998358024 has 24 divisors (see below), whose sum is σ = 30532133790. Its totient is φ = 5999296128.

The previous prime is 13998358021. The next prime is 13998358057. The reversal of 13998358024 is 42085389931.

13998358024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13912202500 + 86155524 = 117950^2 + 9282^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13998358021) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 17854657 + ... + 17855440.

Almost surely, 213998358024 is an apocalyptic number.

13998358024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13998358024 is an abundant number, since it is smaller than the sum of its proper divisors (16533775766).

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

13998358024 is a wasteful number, since it uses less digits than its factorization.

13998358024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35710117 (or 35710106 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 13998358024 in words is "thirteen billion, nine hundred ninety-eight million, three hundred fifty-eight thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 35710097 71420194 142840388 249970679 285680776 499941358 999882716 1749794753 1999765432 3499589506 6999179012 13998358024