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39418214130 = 23253891125913
BaseRepresentation
bin100100101101100000…
…100011011011110010
310202202010022202022200
4210231200203123302
51121212030323010
630035233044030
72563551202041
oct445540433362
9122663282280
1039418214130
1115798610779
1277810b6616
133942693279
141c9d206558
15105a8b5cc0
hex92d8236f2

39418214130 has 48 divisors (see below), whose sum is σ = 102750911640. Its totient is φ = 10484492544.

The previous prime is 39418214119. The next prime is 39418214141. The reversal of 39418214130 is 3141281493.

It is an interprime number because it is at equal distance from previous prime (39418214119) and next prime (39418214141).

It can be written as a sum of positive squares in 4 ways, for example, as 27460135521 + 11958078609 = 165711^2 + 109353^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 527947 + ... + 597966.

Almost surely, 239418214130 is an apocalyptic number.

39418214130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

39418214130 is an abundant number, since it is smaller than the sum of its proper divisors (63332697510).

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

39418214130 is a wasteful number, since it uses less digits than its factorization.

39418214130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126315 (or 1126312 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 39418214130 in words is "thirty-nine billion, four hundred eighteen million, two hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 389 778 1167 1945 2334 3501 3890 5835 7002 11670 17505 35010 1125913 2251826 3377739 5629565 6755478 10133217 11259130 16888695 20266434 33777390 50666085 101332170 437980157 875960314 1313940471 2189900785 2627880942 3941821413 4379801570 6569702355 7883642826 13139404710 19709107065 39418214130