Search a number
-
+
420245584345440 = 2532571913716016531
BaseRepresentation
bin101111110001101100000110…
…0110001011111100101100000
32001002222002022022222222121100
41133203120030301133211200
5420040300424043023230
64045442053425554400
7154342512225315450
oct13743301461374540
92032862268888540
10420245584345440
111119a3173646297
123b1724abaa5a00
1315064cb0b39109
1475abdcda85d60
15338b843301660
hex17e360cc5f960

420245584345440 has 576 divisors, whose sum is σ = 1737811660515840. Its totient is φ = 90336304373760.

The previous prime is 420245584345409. The next prime is 420245584345481. The reversal of 420245584345440 is 44543485542024.

420245584345440 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 4 + 5 + 58 + 43 + 4 + 544 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18229975 + ... + 34246505.

It is an arithmetic number, because the mean of its divisors is an integer number (3017034132840).

Almost surely, 2420245584345440 is an apocalyptic number.

420245584345440 is a gapful number since it is divisible by the number (40) 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 420245584345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868905830257920).

420245584345440 is an abundant number, since it is smaller than the sum of its proper divisors (1317566076170400).

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

420245584345440 is a wasteful number, since it uses less digits than its factorization.

420245584345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16016715 (or 16016704 counting only the distinct ones).

The product of its (nonzero) digits is 49152000, while the sum is 54.

The spelling of 420245584345440 in words is "four hundred twenty trillion, two hundred forty-five billion, five hundred eighty-four million, three hundred forty-five thousand, four hundred forty".