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4138222116 = 2237193183641
BaseRepresentation
bin1111011010101000…
…0100001000100100
3101200101210110112210
43312222010020210
531433341101431
61522344243420
7204356210340
oct36652041044
911611713483
104138222116
111833a11586
12975a70570
1350c458752
142b3854620
15193479d46
hexf6a84224

4138222116 has 96 divisors (see below), whose sum is σ = 11990917120. Its totient is φ = 1083974400.

The previous prime is 4138222087. The next prime is 4138222159. The reversal of 4138222116 is 6112228314.

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, 7656 + ... + 91296.

Almost surely, 24138222116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138222116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995458560).

4138222116 is an abundant number, since it is smaller than the sum of its proper divisors (7852695004).

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

4138222116 is a wasteful number, since it uses less digits than its factorization.

4138222116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83705 (or 83703 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 4138222116 is about 64329.0145735188. The cubic root of 4138222116 is about 1605.4788885519.

The spelling of 4138222116 in words is "four billion, one hundred thirty-eight million, two hundred twenty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 31 38 42 57 62 76 84 93 114 124 133 186 217 228 266 372 399 434 532 589 651 798 868 1178 1302 1596 1767 2356 2604 3534 4123 7068 8246 12369 16492 24738 49476 83641 167282 250923 334564 501846 585487 1003692 1170974 1589179 1756461 2341948 2592871 3178358 3512922 4767537 5185742 6356716 7025844 7778613 9535074 10371484 11124253 15557226 18150097 19070148 22248506 31114452 33372759 36300194 44497012 49264549 54450291 66745518 72600388 98529098 108900582 133491036 147793647 197058196 217801164 295587294 344851843 591174588 689703686 1034555529 1379407372 2069111058 4138222116