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443141220431 = 713229611071979
BaseRepresentation
bin1100111001011010100…
…01100110100001001111
31120100211021101102211202
412130231101212201033
524230023123023211
6535324250140115
744005311136610
oct6345521464117
91510737342752
10443141220431
11160a31736888
1271a7312163b
1332a3241bb00
141763ba17c07
15b7d906c53b
hex672d46684f

443141220431 has 96 divisors (see below), whose sum is σ = 582294873600. Its totient is φ = 329698736640.

The previous prime is 443141220377. The next prime is 443141220433. The reversal of 443141220431 is 134022141344.

It is not a de Polignac number, because 443141220431 - 26 = 443141220367 is a prime.

It is a super-2 number, since 2×4431412204312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 443141220394 and 443141220403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443141220433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223920800 + ... + 223922778.

It is an arithmetic number, because the mean of its divisors is an integer number (6065571600).

Almost surely, 2443141220431 is an apocalyptic number.

443141220431 is a deficient number, since it is larger than the sum of its proper divisors (139153653169).

443141220431 is a wasteful number, since it uses less digits than its factorization.

443141220431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 443141220431 its reverse (134022141344), we get a palindrome (577163361775).

The spelling of 443141220431 in words is "four hundred forty-three billion, one hundred forty-one million, two hundred twenty thousand, four hundred thirty-one".

Divisors: 1 7 13 29 61 91 107 169 203 377 427 749 793 1183 1391 1769 1979 2639 3103 4901 5551 6527 9737 10309 12383 13853 18083 21721 22997 25727 34307 40339 45689 57391 72163 84851 120719 126581 160979 180089 189283 211753 282373 298961 334451 401737 524407 593957 746083 845033 1103063 1324981 1482271 1569347 2092727 2341157 2460679 2752789 3500851 3670849 5222581 6140837 7721441 9699079 10985429 12916933 17224753 19269523 20401511 24505957 31988827 35786257 42985859 45511063 67893553 79830881 90418531 142810577 167920129 223921789 250503799 318577441 374591057 558816167 591643819 1037801453 1175440903 2182961677 2622137399 4141506733 4869683741 7264610171 15280731739 34087786187 63305888633 443141220431