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2414202144 = 253131191969
BaseRepresentation
bin1000111111100101…
…1100110100100000
320020020202011202020
42033321130310200
514421013432034
61035320421440
7113553244134
oct21771346440
96206664666
102414202144
111029832892
12574617880
132c621c0a3
1418c8b93c4
15e1e2e249
hex8fe5cd20

2414202144 has 48 divisors (see below), whose sum is σ = 6385690080. Its totient is φ = 798586880.

The previous prime is 2414202143. The next prime is 2414202157. The reversal of 2414202144 is 4412024142.

2414202144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2414202143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83409 + ... + 108560.

It is an arithmetic number, because the mean of its divisors is an integer number (133035210).

Almost surely, 22414202144 is an apocalyptic number.

2414202144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2414202144 is an abundant number, since it is smaller than the sum of its proper divisors (3971487936).

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

2414202144 is a wasteful number, since it uses less digits than its factorization.

2414202144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192113 (or 192105 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2414202144 is about 49134.5310754056. The cubic root of 2414202144 is about 1341.5016476817.

Adding to 2414202144 its reverse (4412024142), we get a palindrome (6826226286).

The spelling of 2414202144 in words is "two billion, four hundred fourteen million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 6288 12576 191969 383938 575907 767876 1151814 1535752 2303628 3071504 4607256 6143008 9214512 18429024 25147939 50295878 75443817 100591756 150887634 201183512 301775268 402367024 603550536 804734048 1207101072 2414202144