Search a number
-
+
420523313504450 = 25213877737695489
BaseRepresentation
bin101111110011101101011011…
…0101110001010000011000010
32001010221122011202102001212212
41133213122312232022003002
5420104323221224120300
64050213424313422122
7154401543505236422
oct13747326656120302
92033848152361785
10420523313504450
11111a9aa324a9082
123b1b829aa0a942
13150852419871b0
1475bb6190a4482
153393b9a6d2935
hex17e76b6b8a0c2

420523313504450 has 48 divisors (see below), whose sum is σ = 843301025566440. Its totient is φ = 155093099397120.

The previous prime is 420523313504389. The next prime is 420523313504467. The reversal of 420523313504450 is 54405313325024.

It can be written as a sum of positive squares in 12 ways, for example, as 2593449355561 + 417929864148889 = 1610419^2 + 20443333^2 .

It is a junction number, because it is equal to n+sod(n) for n = 420523313504398 and 420523313504407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368277695 + ... + 369417794.

Almost surely, 2420523313504450 is an apocalyptic number.

420523313504450 is an abundant number, since it is smaller than the sum of its proper divisors (422777712061990).

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

420523313504450 is a wasteful number, since it uses less digits than its factorization.

420523313504450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737696391 (or 737696386 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 41.

Adding to 420523313504450 its reverse (54405313325024), we get a palindrome (474928626829474).

The spelling of 420523313504450 in words is "four hundred twenty trillion, five hundred twenty-three billion, three hundred thirteen million, five hundred four thousand, four hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 325 650 877 1754 4385 8770 11401 21925 22802 43850 57005 114010 285025 570050 737695489 1475390978 3688477445 7376954890 9590041357 18442387225 19180082714 36884774450 47950206785 95900413570 239751033925 479502067850 646958943853 1293917887706 3234794719265 6469589438530 8410466270089 16173973596325 16820932540178 32347947192650 42052331350445 84104662700890 210261656752225 420523313504450