Search a number
-
+
104310374400000 = 2203555131
BaseRepresentation
bin10111101101111010100110…
…110100000000000000000000
3111200022222022100012101100000
4113231322212310000000000
5102133010121321300000
61005503305141200000
730654114214053126
oct2755724664000000
9450288270171300
10104310374400000
1130266865a8a33a
12b848071400000
1346285701a79b2
141ba8913035916
15c0d543b00000
hex5edea6d00000

104310374400000 has 1512 divisors, whose sum is σ = 393583837334688. Its totient is φ = 27603763200000.

The previous prime is 104310374399989. The next prime is 104310374400013. The reversal of 104310374400000 is 4473013401.

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 71 ways as a sum of consecutive naturals, for example, 796262399935 + ... + 796262400065.

It is an arithmetic number, because the mean of its divisors is an integer number (260306770724).

Almost surely, 2104310374400000 is an apocalyptic number.

104310374400000 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 104310374400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196791918667344).

104310374400000 is an abundant number, since it is smaller than the sum of its proper divisors (289273462934688).

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

104310374400000 is an frugal number, since it uses more digits than its factorization.

104310374400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 104310374400000 in words is "one hundred four trillion, three hundred ten billion, three hundred seventy-four million, four hundred thousand".