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444300014112 = 25326731173137
BaseRepresentation
bin1100111011100100101…
…10000011001000100000
31120110211000212020221020
412131302112003020200
524234411300422422
6540035243125440
744046111544053
oct6356226031040
91513730766836
10444300014112
11161476858709
1272137213880
1332b88516646
141770b89ca9a
15b855b6895c
hex6772583220

444300014112 has 48 divisors (see below), whose sum is σ = 1166337904032. Its totient is φ = 148093608960.

The previous prime is 444300014101. The next prime is 444300014113. The reversal of 444300014112 is 211410003444.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (444300014113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2479608 + ... + 2652744.

It is an arithmetic number, because the mean of its divisors is an integer number (24298706334).

Almost surely, 2444300014112 is an apocalyptic number.

It is an amenable number.

444300014112 is an abundant number, since it is smaller than the sum of its proper divisors (722037889920).

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

444300014112 is a wasteful number, since it uses less digits than its factorization.

444300014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199881 (or 199873 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 444300014112 its reverse (211410003444), we get a palindrome (655710017556).

The spelling of 444300014112 in words is "four hundred forty-four billion, three hundred million, fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 26731 53462 80193 106924 160386 173137 213848 320772 346274 427696 519411 641544 692548 855392 1038822 1283088 1385096 2077644 2566176 2770192 4155288 5540384 8310576 16621152 4628125147 9256250294 13884375441 18512500588 27768750882 37025001176 55537501764 74050002352 111075003528 148100004704 222150007056 444300014112