Search a number
-
+
444093212080 = 2457793023593
BaseRepresentation
bin1100111011001100000…
…01001010010110110000
31120110021121201121212201
412131212001022112300
524234000330241310
6540002534432544
744041021006510
oct6354601122660
91513247647781
10444093212080
1116138004a241
1272099b02754
1332b5471a28b
14176cc229840
15b842918e3a
hex676604a5b0

444093212080 has 40 divisors (see below), whose sum is σ = 1180019107872. Its totient is φ = 152260529664.

The previous prime is 444093212071. The next prime is 444093212093. The reversal of 444093212080 is 80212390444.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396511237 + ... + 396512356.

Almost surely, 2444093212080 is an apocalyptic number.

444093212080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444093212080 is an abundant number, since it is smaller than the sum of its proper divisors (735925895792).

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

444093212080 is a wasteful number, since it uses less digits than its factorization.

444093212080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793023613 (or 793023607 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 444093212080 in words is "four hundred forty-four billion, ninety-three million, two hundred twelve thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 793023593 1586047186 3172094372 3965117965 5551165151 6344188744 7930235930 11102330302 12688377488 15860471860 22204660604 27755825755 31720943720 44409321208 55511651510 63441887440 88818642416 111023303020 222046606040 444093212080