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444233121420 = 2235112329264369
BaseRepresentation
bin1100111011011100101…
…10110111111010001100
31120110122100222202102010
412131232112313322030
524234242134341140
6540024453301220
744044340141454
oct6355626677214
91513570882363
10444233121420
1116144201a1a0
1272118934810
1332b776c527a
1417702a48d64
15b84ed53880
hex676e5b7e8c

444233121420 has 96 divisors (see below), whose sum is σ = 1415927278080. Its totient is φ = 103010575360.

The previous prime is 444233121391. The next prime is 444233121439. The reversal of 444233121420 is 24121332444.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14617005 + ... + 14647364.

It is an arithmetic number, because the mean of its divisors is an integer number (14749242480).

Almost surely, 2444233121420 is an apocalyptic number.

It is an amenable number.

444233121420 is an abundant number, since it is smaller than the sum of its proper divisors (971694156660).

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

444233121420 is a wasteful number, since it uses less digits than its factorization.

444233121420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29264415 (or 29264413 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 444233121420 its reverse (24121332444), we get a palindrome (468354453864).

The spelling of 444233121420 in words is "four hundred forty-four billion, two hundred thirty-three million, one hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 15180 29264369 58528738 87793107 117057476 146321845 175586214 292643690 321908059 351172428 438965535 585287380 643816118 673080487 877931070 965724177 1287632236 1346160974 1609540295 1755862140 1931448354 2019241461 2692321948 3219080590 3365402435 3862896708 4038482922 4828620885 6438161180 6730804870 7403885357 8076965844 9657241770 10096207305 13461609740 14807770714 19314483540 20192414610 22211656071 29615541428 37019426785 40384829220 44423312142 74038853570 88846624284 111058280355 148077707140 222116560710 444233121420