Search a number
-
+
34101500000 = 2556241283
BaseRepresentation
bin11111110000100110…
…111001100001100000
310021000120222200122112
4133300212321201200
51024314441000000
623355505254452
72315031652541
oct376046714140
9107016880575
1034101500000
111350a453757
126738634428
1332a6033c89
1419170604c8
15d48c4d235
hex7f09b9860

34101500000 has 168 divisors, whose sum is σ = 84566573784. Its totient is φ = 13536000000.

The previous prime is 34101499961. The next prime is 34101500021. The reversal of 34101500000 is 510143.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 120499859 + ... + 120500141.

It is an arithmetic number, because the mean of its divisors is an integer number (503372463).

Almost surely, 234101500000 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 34101500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42283286892).

34101500000 is an abundant number, since it is smaller than the sum of its proper divisors (50465073784).

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

34101500000 is an frugal number, since it uses more digits than its factorization.

34101500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The spelling of 34101500000 in words is "thirty-four billion, one hundred one million, five hundred thousand".