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8014132338 = 2331476191481
BaseRepresentation
bin1110111011010110…
…11111010001110010
3202200112000002211020
413131223133101302
5112403104213323
63403122400310
7402412000212
oct73553372162
922615002736
108014132338
113442850273
121677b00096
139a9450854
14560506242
1531d88cae3
hex1ddadf472

8014132338 has 64 divisors (see below), whose sum is σ = 16936058880. Its totient is φ = 2524406400.

The previous prime is 8014132271. The next prime is 8014132349. The reversal of 8014132338 is 8332314108.

It is a junction number, because it is equal to n+sod(n) for n = 8014132299 and 8014132308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5410558 + ... + 5412038.

It is an arithmetic number, because the mean of its divisors is an integer number (264625920).

Almost surely, 28014132338 is an apocalyptic number.

8014132338 is an abundant number, since it is smaller than the sum of its proper divisors (8921926542).

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

8014132338 is a wasteful number, since it uses less digits than its factorization.

8014132338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 8014132338 is about 89521.6864117293. The cubic root of 8014132338 is about 2001.1770020306.

The spelling of 8014132338 in words is "eight billion, fourteen million, one hundred thirty-two thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 31 47 62 93 94 141 186 282 619 1238 1457 1481 1857 2914 2962 3714 4371 4443 8742 8886 19189 29093 38378 45911 57567 58186 69607 87279 91822 115134 137733 139214 174558 208821 275466 417642 901883 916739 1803766 1833478 2157817 2705649 2750217 4315634 5411298 5500434 6473451 12946902 28418909 43086733 56837818 85256727 86173466 129260199 170513454 258520398 1335688723 2671377446 4007066169 8014132338