Search a number
-
+
245316573440 = 285607315739
BaseRepresentation
bin1110010001111000000…
…0011101100100000000
3212110012112102010200022
43210132000131210000
513004402020322230
6304410305313012
723503113316631
oct3443600354400
9773175363608
10245316573440
11950468a0594
123b664035768
131a1969b1983
14bc327d9888
1565aba971e5
hex391e01d900

245316573440 has 72 divisors (see below), whose sum is σ = 588579774720. Its totient is φ = 97964660736.

The previous prime is 245316573433. The next prime is 245316573487. The reversal of 245316573440 is 44375613542.

245316573440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 245316573391 and 245316573400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619091 + ... + 934829.

Almost surely, 2245316573440 is an apocalyptic number.

245316573440 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 245316573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294289887360).

245316573440 is an abundant number, since it is smaller than the sum of its proper divisors (343263201280).

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

245316573440 is an equidigital number, since it uses as much as digits as its factorization.

245316573440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316367 (or 316353 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 44.

The spelling of 245316573440 in words is "two hundred forty-five billion, three hundred sixteen million, five hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 607 640 1214 1280 2428 3035 4856 6070 9712 12140 19424 24280 38848 48560 77696 97120 155392 194240 315739 388480 631478 776960 1262956 1578695 2525912 3157390 5051824 6314780 10103648 12629560 20207296 25259120 40414592 50518240 80829184 101036480 191653573 202072960 383307146 404145920 766614292 958267865 1533228584 1916535730 3066457168 3833071460 6132914336 7666142920 12265828672 15332285840 24531657344 30664571680 49063314688 61329143360 122658286720 245316573440