Search a number
-
+
440204226426 = 23349140214129
BaseRepresentation
bin1100110011111100011…
…01110110111101111010
31120002020120220200111000
412121332031312331322
524203014240221201
6534121012145430
743542446121066
oct6317615667572
91502216820430
10440204226426
1115a76489a808
1271393608276
1332684ac7833
141743d932aa6
15b6b62c1d86
hex667e376f7a

440204226426 has 64 divisors (see below), whose sum is σ = 980705174400. Its totient is φ = 146364019200.

The previous prime is 440204226421. The next prime is 440204226431. The reversal of 440204226426 is 624622402044.

440204226426 is a `hidden beast` number, since 4 + 4 + 0 + 2 + 0 + 4 + 2 + 2 + 642 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (440204226421) and next prime (440204226431).

It is not an unprimeable number, because it can be changed into a prime (440204226421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106610730 + ... + 106614858.

It is an arithmetic number, because the mean of its divisors is an integer number (15323518350).

Almost surely, 2440204226426 is an apocalyptic number.

440204226426 is an abundant number, since it is smaller than the sum of its proper divisors (540500947974).

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

440204226426 is a wasteful number, since it uses less digits than its factorization.

440204226426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8652 (or 8646 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 440204226426 in words is "four hundred forty billion, two hundred four million, two hundred twenty-six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 491 982 1473 2946 4021 4129 4419 8042 8258 8838 12063 12387 13257 24126 24774 26514 36189 37161 72378 74322 108567 111483 217134 222966 1974311 2027339 3948622 4054678 5922933 6082017 11845866 12164034 16602709 17768799 18246051 33205418 35537598 36492102 49808127 53306397 54738153 99616254 106612794 109476306 149424381 298848762 448273143 896546286 8151930119 16303860238 24455790357 48911580714 73367371071 146734742142 220102113213 440204226426