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34043023140 = 223571913731139
BaseRepresentation
bin11111101101000111…
…110100111100100100
310020212111221202110220
4133231013310330210
51024210003220030
623350020044340
72313421631220
oct375507647444
9106774852426
1034043023140
111348a443175
126720b336b0
133296b9b399
14190d39b780
15d43a4ba10
hex7ed1f4f24

34043023140 has 192 divisors, whose sum is σ = 115511961600. Its totient is φ = 7317679104.

The previous prime is 34043023139. The next prime is 34043023163. The reversal of 34043023140 is 4132034043.

It is a self number, because there is not a number n which added to its sum of digits gives 34043023140.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1077691 + ... + 1108829.

It is an arithmetic number, because the mean of its divisors is an integer number (601624800).

Almost surely, 234043023140 is an apocalyptic number.

34043023140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34043023140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57755980800).

34043023140 is an abundant number, since it is smaller than the sum of its proper divisors (81468938460).

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

34043023140 is a wasteful number, since it uses less digits than its factorization.

34043023140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31314 (or 31312 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34043023140 its reverse (4132034043), we get a palindrome (38175057183).

The spelling of 34043023140 in words is "thirty-four billion, forty-three million, twenty-three thousand, one hundred forty".