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2418142090 = 257132991631
BaseRepresentation
bin1001000000100001…
…1110101110001010
320020112011100100011
42100020132232022
514423021021330
61035541102134
7113631603640
oct22010365612
96215140304
102418142090
111030a83a41
125759b794a
132c6c9b510
1418d223190
15e245b82a
hex9021eb8a

2418142090 has 64 divisors (see below), whose sum is σ = 5541903360. Its totient is φ = 738904320.

The previous prime is 2418142063. The next prime is 2418142117. The reversal of 2418142090 is 902418142.

It is an interprime number because it is at equal distance from previous prime (2418142063) and next prime (2418142117).

It is a super-2 number, since 2×24181420902 = 11694822334859136200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19426 + ... + 72205.

It is an arithmetic number, because the mean of its divisors is an integer number (86592240).

Almost surely, 22418142090 is an apocalyptic number.

2418142090 is an abundant number, since it is smaller than the sum of its proper divisors (3123761270).

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

2418142090 is a wasteful number, since it uses less digits than its factorization.

2418142090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91687.

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 2418142090 is about 49174.6081834924. The cubic root of 2418142090 is about 1342.2310220370.

The spelling of 2418142090 in words is "two billion, four hundred eighteen million, one hundred forty-two thousand, ninety".

Divisors: 1 2 5 7 10 13 14 26 29 35 58 65 70 91 130 145 182 203 290 377 406 455 754 910 1015 1885 2030 2639 3770 5278 13195 26390 91631 183262 458155 641417 916310 1191203 1282834 2382406 2657299 3207085 5314598 5956015 6414170 8338421 11912030 13286495 16676842 18601093 26572990 34544887 37202186 41692105 69089774 83384210 93005465 172724435 186010930 241814209 345448870 483628418 1209071045 2418142090