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444544140 = 223519419511
BaseRepresentation
bin11010011111110…
…011010010001100
31010222111011220210
4122133303102030
51402300403030
6112040042420
714005364025
oct3237632214
91128434823
10444544140
11208a2a657
12104a63410
1371139591
144307bc4c
1529061bb0
hex1a7f348c

444544140 has 96 divisors (see below), whose sum is σ = 1342333440. Its totient is φ = 109555200.

The previous prime is 444544117. The next prime is 444544141. The reversal of 444544140 is 41445444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 444544098 and 444544107.

It is not an unprimeable number, because it can be changed into a prime (444544141) 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, 41985 + ... + 51495.

It is an arithmetic number, because the mean of its divisors is an integer number (13982640).

Almost surely, 2444544140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444544140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671166720).

444544140 is an abundant number, since it is smaller than the sum of its proper divisors (897789300).

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

444544140 is a wasteful number, since it uses less digits than its factorization.

444544140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9583 (or 9581 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The square root of 444544140 is about 21084.2154229177. The cubic root of 444544140 is about 763.1998855640.

Adding to 444544140 its reverse (41445444), we get a palindrome (485989584).

The spelling of 444544140 in words is "four hundred forty-four million, five hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 41 57 60 76 82 95 114 123 164 190 205 228 246 285 380 410 492 570 615 779 820 1140 1230 1558 2337 2460 3116 3895 4674 7790 9348 9511 11685 15580 19022 23370 28533 38044 46740 47555 57066 95110 114132 142665 180709 190220 285330 361418 389951 542127 570660 722836 779902 903545 1084254 1169853 1559804 1807090 1949755 2168508 2339706 2710635 3614180 3899510 4679412 5421270 5849265 7409069 7799020 10842540 11698530 14818138 22227207 23397060 29636276 37045345 44454414 74090690 88908828 111136035 148181380 222272070 444544140