Search a number
-
+
34128120488 = 23711182330391
BaseRepresentation
bin11111110010001100…
…011100101010101000
310021002110002011002112
4133302030130222220
51024343244323423
623402300021452
72315504144360
oct376214345250
9107073064075
1034128120488
1113523486060
126745531888
1332ab6c4947
14191a7cd9a0
15d4b25aa78
hex7f231caa8

34128120488 has 64 divisors (see below), whose sum is σ = 79826411520. Its totient is φ = 13288939200.

The previous prime is 34128120487. The next prime is 34128120527. The reversal of 34128120488 is 88402182143.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34128120487) 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, 1107773 + ... + 1138163.

It is an arithmetic number, because the mean of its divisors is an integer number (1247287680).

Almost surely, 234128120488 is an apocalyptic number.

It is an amenable number.

34128120488 is an abundant number, since it is smaller than the sum of its proper divisors (45698291032).

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

34128120488 is a wasteful number, since it uses less digits than its factorization.

34128120488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32238 (or 32234 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The spelling of 34128120488 in words is "thirty-four billion, one hundred twenty-eight million, one hundred twenty thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 1823 3646 7292 12761 14584 20053 25522 30391 40106 51044 60782 80212 102088 121564 140371 160424 212737 243128 280742 334301 425474 561484 668602 850948 1122968 1337204 1701896 2340107 2674408 4680214 9360428 18720856 55402793 110805586 221611172 387819551 443222344 609430723 775639102 1218861446 1551278204 2437722892 3102556408 4266015061 4875445784 8532030122 17064060244 34128120488