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104114022000000 = 2735640014337
BaseRepresentation
bin10111101011000011101111…
…010011000010010110000000
3111122122012111012111222100220
4113223003233103002112000
5102121301004113000000
61005233153231543040
730633663344151345
oct2753035723022600
9448565435458326
10104114022000000
11301a0566198aa1
12b815bb338aa80
134612baa79381c
141b9d2075747cc
15c083a09e11a0
hex5eb0ef4c2580

104114022000000 has 448 divisors, whose sum is σ = 345852790215120. Its totient is φ = 27750400000000.

The previous prime is 104114021999989. The next prime is 104114022000059. The reversal of 104114022000000 is 220411401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24005997832 + ... + 24006002168.

Almost surely, 2104114022000000 is an apocalyptic number.

104114022000000 is a gapful number since it is divisible by the number (10) 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 104114022000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172926395107560).

104114022000000 is an abundant number, since it is smaller than the sum of its proper divisors (241738768215120).

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

104114022000000 is an frugal number, since it uses more digits than its factorization.

104114022000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8385 (or 8348 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 104114022000000 its reverse (220411401), we get a palindrome (104114242411401).

The spelling of 104114022000000 in words is "one hundred four trillion, one hundred fourteen billion, twenty-two million", and thus it is an aban number.