Search a number
-
+
38153942214 = 231715110512357
BaseRepresentation
bin100011100010001001…
…101111010011000110
310122111000101002021220
4203202021233103012
51111114402122324
625305551221210
72520330105063
oct434211572306
9118430332256
1038153942214
11151a99a6553
127489817806
1337a078758b
141bbd345c6a
15ed48d1b79
hex8e226f4c6

38153942214 has 64 divisors (see below), whose sum is σ = 81443584512. Its totient is φ = 11874240000.

The previous prime is 38153942213. The next prime is 38153942221. The reversal of 38153942214 is 41224935183.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38153942213) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16186324 + ... + 16188680.

It is an arithmetic number, because the mean of its divisors is an integer number (1272556008).

Almost surely, 238153942214 is an apocalyptic number.

38153942214 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

38153942214 is an abundant number, since it is smaller than the sum of its proper divisors (43289642298).

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

38153942214 is a wasteful number, since it uses less digits than its factorization.

38153942214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581.

The product of its digits is 207360, while the sum is 42.

The spelling of 38153942214 in words is "thirty-eight billion, one hundred fifty-three million, nine hundred forty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 17 34 51 102 151 302 453 906 1051 2102 2357 2567 3153 4714 5134 6306 7071 7701 14142 15402 17867 35734 40069 53601 80138 107202 120207 158701 240414 317402 355907 476103 711814 952206 1067721 2135442 2477207 2697917 4954414 5395834 6050419 7431621 8093751 12100838 14863242 16187502 18151257 36302514 42112519 84225038 126337557 252675114 374058257 748116514 1122174771 2244349542 6358990369 12717980738 19076971107 38153942214