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4138179540 = 2235116269969
BaseRepresentation
bin1111011010100111…
…1001101111010100
3101200101201022010220
43312221321233110
531433333221130
61522343314340
7204355642245
oct36651715724
911611638126
104138179540
1118339925a0
12975a4b9b0
1350c442261
142b3842ccc
1519346c410
hexf6a79bd4

4138179540 has 48 divisors (see below), whose sum is σ = 12640259520. Its totient is φ = 1003194880.

The previous prime is 4138179497. The next prime is 4138179547. The reversal of 4138179540 is 459718314.

It is a happy number.

It is a super-2 number, since 2×41381795402 = 34249059810549223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4138179492 and 4138179501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138179547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3134325 + ... + 3135644.

It is an arithmetic number, because the mean of its divisors is an integer number (263338740).

Almost surely, 24138179540 is an apocalyptic number.

It is an amenable number.

4138179540 is an abundant number, since it is smaller than the sum of its proper divisors (8502079980).

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

4138179540 is a wasteful number, since it uses less digits than its factorization.

4138179540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6269992 (or 6269990 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 4138179540 is about 64328.6836488980. The cubic root of 4138179540 is about 1605.4733825559.

The spelling of 4138179540 in words is "four billion, one hundred thirty-eight million, one hundred seventy-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 6269969 12539938 18809907 25079876 31349845 37619814 62699690 68969659 75239628 94049535 125399380 137939318 188099070 206908977 275878636 344848295 376198140 413817954 689696590 827635908 1034544885 1379393180 2069089770 4138179540