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34540140540 = 2235575669009
BaseRepresentation
bin100000001010110000…
…001011011111111100
310022011011100221100110
4200022300023133330
51031214233444130
623511215030020
72331636231123
oct401260133774
9108134327313
1034540140540
11137150108a4
12683b50b310
133345b843a9
141959402aba
15d724e5ab0
hex80ac0b7fc

34540140540 has 24 divisors (see below), whose sum is σ = 96712393680. Its totient is φ = 9210704128.

The previous prime is 34540140539. The next prime is 34540140577. The reversal of 34540140540 is 4504104543.

It is a super-3 number, since 3×345401405403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34540140498 and 34540140507.

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 7 ways as a sum of consecutive naturals, for example, 287834445 + ... + 287834564.

It is an arithmetic number, because the mean of its divisors is an integer number (4029683070).

Almost surely, 234540140540 is an apocalyptic number.

34540140540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34540140540 is an abundant number, since it is smaller than the sum of its proper divisors (62172253140).

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

34540140540 is a wasteful number, since it uses less digits than its factorization.

34540140540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575669021 (or 575669019 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 34540140540 in words is "thirty-four billion, five hundred forty million, one hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 575669009 1151338018 1727007027 2302676036 2878345045 3454014054 5756690090 6908028108 8635035135 11513380180 17270070270 34540140540