Search a number
-
+
104242360320 = 212345747191
BaseRepresentation
bin110000100010101010…
…1000011000000000000
3100222001211101120120000
41201011111003000000
53201442021012240
6115515511320000
710350136304640
oct1410525030000
9328054346500
10104242360320
114023310520a
1218252680000
139aa36ca417
14508c662520
152aa18d5430
hex1845543000

104242360320 has 1040 divisors, whose sum is σ = 438435790848. Its totient is φ = 23197777920.

The previous prime is 104242360303. The next prime is 104242360331. The reversal of 104242360320 is 23063242401.

104242360320 is a `hidden beast` number, since 1 + 0 + 424 + 236 + 0 + 3 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 545771425 + ... + 545771615.

Almost surely, 2104242360320 is an apocalyptic number.

104242360320 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 104242360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219217895424).

104242360320 is an abundant number, since it is smaller than the sum of its proper divisors (334193430528).

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

104242360320 is an equidigital number, since it uses as much as digits as its factorization.

104242360320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 104242360320 in words is "one hundred four billion, two hundred forty-two million, three hundred sixty thousand, three hundred twenty".