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443220241200440 = 235111649996104999
BaseRepresentation
bin110010011000110110100000…
…1000010001011010100111000
32011010022102220200010121110012
41210301231001002023110320
5431043210023221403230
64210352322400041052
7162233414520406364
oct14461550102132470
92133272820117405
10443220241200440
11119250715480070
1241863076003188
13160406492c0552
147b63d8d04c2a4
153639297a26395
hex1931b4108b538

443220241200440 has 64 divisors (see below), whose sum is σ = 1087911000000000. Its totient is φ = 161169993600640.

The previous prime is 443220241200403. The next prime is 443220241200587. The reversal of 443220241200440 is 44002142022344.

It is a super-2 number, since 2×4432202412004402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 443220241200397 and 443220241200406.

It is a congruent number.

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, 69547061 + ... + 75652059.

It is an arithmetic number, because the mean of its divisors is an integer number (16998609375000).

Almost surely, 2443220241200440 is an apocalyptic number.

443220241200440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

443220241200440 is an abundant number, since it is smaller than the sum of its proper divisors (644690758799560).

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

443220241200440 is a wasteful number, since it uses less digits than its factorization.

443220241200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6270020 (or 6270016 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 443220241200440 its reverse (44002142022344), we get a palindrome (487222383222784).

The spelling of 443220241200440 in words is "four hundred forty-three trillion, two hundred twenty billion, two hundred forty-one million, two hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 164999 329998 659996 824995 1319992 1649990 1814989 3299980 3629978 6104999 6599960 7259956 9074945 12209998 14519912 18149890 24419996 30524995 36299780 48839992 61049990 67154989 72599560 122099980 134309978 244199960 268619956 335774945 537239912 671549890 1343099780 2686199560 1007318730001 2014637460002 4029274920004 5036593650005 8058549840008 10073187300010 11080506030011 20146374600020 22161012060022 40292749200040 44322024120044 55402530150055 88644048240088 110805060300110 221610120600220 443220241200440