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201444114024 = 23337517124067
BaseRepresentation
bin1011101110011100000…
…0010011111001101000
3201020221222122021112000
42323213000103321220
511300024143122044
6232313034251000
720360654500656
oct2734700237150
9636858567460
10201444114024
1178482a5046a
123305b286a60
1315cc4574c0a
149a6dbd7dd6
15539012ed69
hex2ee7013e68

201444114024 has 64 divisors (see below), whose sum is σ = 559645934400. Its totient is φ = 67138564032.

The previous prime is 201444114017. The next prime is 201444114049. The reversal of 201444114024 is 420411444102.

It is a happy number.

201444114024 is a `hidden beast` number, since 201 + 4 + 4 + 411 + 40 + 2 + 4 = 666.

201444114024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1561639 + ... + 1685705.

It is an arithmetic number, because the mean of its divisors is an integer number (8744467725).

Almost surely, 2201444114024 is an apocalyptic number.

201444114024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201444114024 is an abundant number, since it is smaller than the sum of its proper divisors (358201820376).

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

201444114024 is a wasteful number, since it uses less digits than its factorization.

201444114024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131599 (or 131589 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 201444114024 its reverse (420411444102), we get a palindrome (621855558126).

The spelling of 201444114024 in words is "two hundred one billion, four hundred forty-four million, one hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 7517 15034 22551 30068 45102 60136 67653 90204 124067 135306 180408 202959 248134 270612 372201 405918 496268 541224 744402 811836 992536 1116603 1488804 1623672 2233206 2977608 3349809 4466412 6699618 8932824 13399236 26798472 932611639 1865223278 2797834917 3730446556 5595669834 7460893112 8393504751 11191339668 16787009502 22382679336 25180514253 33574019004 50361028506 67148038008 100722057012 201444114024