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444101420 = 22574373771
BaseRepresentation
bin11010011110000…
…111001100101100
31010221122200121202
4122132013030230
51402142221140
6112022345032
714001541220
oct3236071454
91127580552
10444101420
11208757a74
1210488b178
1371012c09
1442da4780
1528ec5915
hex1a78732c

444101420 has 48 divisors (see below), whose sum is σ = 1090645248. Its totient is φ = 148720320.

The previous prime is 444101341. The next prime is 444101431. The reversal of 444101420 is 24101444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 444101392 and 444101401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30866 + ... + 42905.

It is an arithmetic number, because the mean of its divisors is an integer number (22721776).

Almost surely, 2444101420 is an apocalyptic number.

It is an amenable number.

444101420 is an abundant number, since it is smaller than the sum of its proper divisors (646543828).

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

444101420 is a wasteful number, since it uses less digits than its factorization.

444101420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73830 (or 73828 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 444101420 is about 21073.7139583890. The cubic root of 444101420 is about 762.9464453535.

Adding to 444101420 its reverse (24101444), we get a palindrome (468202864).

The spelling of 444101420 in words is "four hundred forty-four million, one hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 3010 6020 73771 147542 295084 368855 516397 737710 1032794 1475420 2065588 2581985 3172153 5163970 6344306 10327940 12688612 15860765 22205071 31721530 44410142 63443060 88820284 111025355 222050710 444101420