Search a number
-
+
245387389440 = 29351719313191
BaseRepresentation
bin1110010010001000111…
…0100110101000000000
3212110101110122221222010
43210202032212220000
513010023132430230
6304421315212520
723504633252364
oct3444216465000
9773343587863
10245387389440
1195082869706
123b6838a7140
131a1a8577a2b
14bc3bd912a4
1565b2dd49b0
hex39223a6a00

245387389440 has 640 divisors, whose sum is σ = 902822215680. Its totient is φ = 56446156800.

The previous prime is 245387389391. The next prime is 245387389453. The reversal of 245387389440 is 44983783542.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76898245 + ... + 76901435.

It is an arithmetic number, because the mean of its divisors is an integer number (1410659712).

Almost surely, 2245387389440 is an apocalyptic number.

245387389440 is a gapful number since it is divisible by the number (20) 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 245387389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451411107840).

245387389440 is an abundant number, since it is smaller than the sum of its proper divisors (657434826240).

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

245387389440 is a wasteful number, since it uses less digits than its factorization.

245387389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 245387389440 in words is "two hundred forty-five billion, three hundred eighty-seven million, three hundred eighty-nine thousand, four hundred forty".