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2400144068 = 227219644507
BaseRepresentation
bin1000111100001111…
…0100101011000100
320012021021221200202
42033003310223010
514403414102233
61034055230032
7113322613400
oct21703645304
96167257622
102400144068
111021900843
1256b978318
132c33393ba
1418aa9a100
15e0aa3be8
hex8f0f4ac4

2400144068 has 36 divisors (see below), whose sum is σ = 5143173840. Its totient is φ = 974493072.

The previous prime is 2400144067. The next prime is 2400144101. The reversal of 2400144068 is 8604410042.

It is a self number, because there is not a number n which added to its sum of digits gives 2400144068.

It is not an unprimeable number, because it can be changed into a prime (2400144067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318530 + ... + 325977.

It is an arithmetic number, because the mean of its divisors is an integer number (142865940).

Almost surely, 22400144068 is an apocalyptic number.

2400144068 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2400144068 is an abundant number, since it is smaller than the sum of its proper divisors (2743029772).

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

2400144068 is a wasteful number, since it uses less digits than its factorization.

2400144068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644544 (or 644535 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 2400144068 is about 48991.2652214658. The cubic root of 2400144068 is about 1338.8926895912.

The spelling of 2400144068 in words is "two billion, four hundred million, one hundred forty-four thousand, sixty-eight".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 532 931 1862 3724 644507 1289014 2578028 4511549 9023098 12245633 18046196 24491266 31580843 48982532 63161686 85719431 126323372 171438862 342877724 600036017 1200072034 2400144068