Search a number
-
+
104330421200000 = 27551719807511
BaseRepresentation
bin10111101110001101010001…
…101100011110010010000000
3111200101220001102210100010002
4113232031101230132102000
5102133322200311400000
61005520422301455132
730655424045046152
oct2756152154362200
9450356042710102
10104330421200000
1130274312973946
12b84bb26b714a8
13462a41648a328
141ba9895620ad2
15c0dd18a128d5
hex5ee351b1e480

104330421200000 has 384 divisors, whose sum is σ = 289550223849600. Its totient is φ = 37210060800000.

The previous prime is 104330421199973. The next prime is 104330421200101. The reversal of 104330421200000 is 2124033401.

It is a super-4 number, since 4×1043304212000004 (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128796245 + ... + 129603755.

It is an arithmetic number, because the mean of its divisors is an integer number (754037041275).

Almost surely, 2104330421200000 is an apocalyptic number.

104330421200000 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 104330421200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144775111924800).

104330421200000 is an abundant number, since it is smaller than the sum of its proper divisors (185219802649600).

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

104330421200000 is an frugal number, since it uses more digits than its factorization.

104330421200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807586 (or 807554 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 104330421200000 its reverse (2124033401), we get a palindrome (104332545233401).

The spelling of 104330421200000 in words is "one hundred four trillion, three hundred thirty billion, four hundred twenty-one million, two hundred thousand".