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444201131222420 = 2251113295355692443
BaseRepresentation
bin110010011111111111010001…
…0101000101010010110010100
32011020210012202120202120022112
41210333332202220222112110
5431210242404043104140
64212423103233250152
7162364321061131655
oct14477764250522624
92136705676676275
10444201131222420
111195997073036a0
12419a11a4103958
13160b1caa3c3290
147b9964148d52c
153654a5672bc65
hex193ffa2a2a594

444201131222420 has 96 divisors (see below), whose sum is σ = 1133692976545920. Its totient is φ = 143961012840960.

The previous prime is 444201131222419. The next prime is 444201131222437. The reversal of 444201131222420 is 24222131102444.

It is a congruent number.

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, 2677763282 + ... + 2677929161.

It is an arithmetic number, because the mean of its divisors is an integer number (11809301839020).

Almost surely, 2444201131222420 is an apocalyptic number.

It is an amenable number.

444201131222420 is an abundant number, since it is smaller than the sum of its proper divisors (689491845323500).

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

444201131222420 is a wasteful number, since it uses less digits than its factorization.

444201131222420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5355692505 (or 5355692503 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 444201131222420 its reverse (24222131102444), we get a palindrome (468423262324864).

The spelling of 444201131222420 in words is "four hundred forty-four trillion, two hundred one billion, one hundred thirty-one million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 29 44 52 55 58 65 110 116 130 143 145 220 260 286 290 319 377 572 580 638 715 754 1276 1430 1508 1595 1885 2860 3190 3770 4147 6380 7540 8294 16588 20735 41470 82940 5355692443 10711384886 21422769772 26778462215 53556924430 58912616873 69624001759 107113848860 117825233746 139248003518 155315080847 235650467492 278496007036 294563084365 310630161694 348120008795 589126168730 621260323388 696240017590 765864019349 776575404235 1178252337460 1392480035180 1531728038698 1553150808470 1708465889317 2019096051011 3063456077396 3106301616940 3416931778634 3829320096745 4038192102022 6833863557268 7658640193490 8076384204044 8542329446585 10095480255055 15317280386980 17084658893170 20190960510110 22210056561121 34169317786340 40381921020220 44420113122242 88840226244484 111050282805605 222100565611210 444201131222420