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3134120000 = 26541117419
BaseRepresentation
bin1011101011001110…
…1110000001000000
322002102101210101112
42322303232001000
522404313320000
61234555022452
7140444403044
oct27263560100
98072353345
103134120000
111369146820
1273573aa28
133ac41339b
1421a35a024
15135238235
hexbacee040

3134120000 has 280 divisors, whose sum is σ = 8998244640. Its totient is φ = 1070080000.

The previous prime is 3134119979. The next prime is 3134120027. The reversal of 3134120000 is 214313.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7479791 + ... + 7480209.

It is an arithmetic number, because the mean of its divisors is an integer number (32136588).

Almost surely, 23134120000 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 3134120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499122320).

3134120000 is an abundant number, since it is smaller than the sum of its proper divisors (5864124640).

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

3134120000 is a wasteful number, since it uses less digits than its factorization.

3134120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3134120000 is about 55983.2117692438. The cubic root of 3134120000 is about 1463.4297300159.

Adding to 3134120000 its reverse (214313), we get a palindrome (3134334313).

The spelling of 3134120000 in words is "three billion, one hundred thirty-four million, one hundred twenty thousand".