Search a number
-
+
15230604420000 = 25335431909833
BaseRepresentation
bin1101110110100010011011…
…0001000010001110100000
31222221000212000020200111000
43131220212301002032200
53444014234212420000
652220502034352000
73131242401340644
oct335504661021640
958830760220430
1015230604420000
114942299152472
12185b96272b600
13866316bb93c8
143a92453b8c24
151b62b2805000
hexdda26c423a0

15230604420000 has 480 divisors, whose sum is σ = 57301199746560. Its totient is φ = 3930474240000.

The previous prime is 15230604419881. The next prime is 15230604420019. The reversal of 15230604420000 is 2440603251.

15230604420000 is a `hidden beast` number, since 1 + 5 + 2 + 30 + 604 + 4 + 20 + 0 + 0 + 0 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16285084 + ... + 17194916.

It is an arithmetic number, because the mean of its divisors is an integer number (119377499472).

Almost surely, 215230604420000 is an apocalyptic number.

15230604420000 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 15230604420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28650599873280).

15230604420000 is an abundant number, since it is smaller than the sum of its proper divisors (42070595326560).

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

15230604420000 is an equidigital number, since it uses as much as digits as its factorization.

15230604420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909903 (or 909874 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 15230604420000 in words is "fifteen trillion, two hundred thirty billion, six hundred four million, four hundred twenty thousand".