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34871040000 = 21133541009
BaseRepresentation
bin100000011110011110…
…011101100000000000
310100000020000101002000
4200132132131200000
51032403441240000
624004115224000
72343064643436
oct403636354000
9110006011060
1034871040000
111387487a525
1269122a8000
1333995b06a4
14198b33ad56
15d915aa000
hex81e79d800

34871040000 has 480 divisors, whose sum is σ = 129207078000. Its totient is φ = 9289728000.

The previous prime is 34871039989. The next prime is 34871040037. The reversal of 34871040000 is 4017843.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 34559496 + ... + 34560504.

Almost surely, 234871040000 is an apocalyptic number.

34871040000 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 34871040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64603539000).

34871040000 is an abundant number, since it is smaller than the sum of its proper divisors (94336038000).

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

34871040000 is an equidigital number, since it uses as much as digits as its factorization.

34871040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 34871040000 its reverse (4017843), we get a palindrome (34875057843).

The spelling of 34871040000 in words is "thirty-four billion, eight hundred seventy-one million, forty thousand".