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420444041031 = 327233124233863
BaseRepresentation
bin1100001111001000110…
…10101110111101000111
31111012020110122021000200
412013210122232331013
523342032133303111
6521052130541543
742242665245120
oct6074432567507
91435213567020
10420444041031
11152344777a83
1269599a378b3
1330856007541
14164c7435047
15ae0b627256
hex61e46aef47

420444041031 has 96 divisors (see below), whose sum is σ = 748107988992. Its totient is φ = 222245432640.

The previous prime is 420444041029. The next prime is 420444041053. The reversal of 420444041031 is 130140444024.

420444041031 is a `hidden beast` number, since 4 + 204 + 4 + 40 + 410 + 3 + 1 = 666.

It is not a de Polignac number, because 420444041031 - 21 = 420444041029 is a prime.

It is a super-2 number, since 2×4204440410312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420444040986 and 420444041004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420444041011) 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, 108836806 + ... + 108840668.

It is an arithmetic number, because the mean of its divisors is an integer number (7792791552).

Almost surely, 2420444041031 is an apocalyptic number.

420444041031 is a deficient number, since it is larger than the sum of its proper divisors (327663947961).

420444041031 is a wasteful number, since it uses less digits than its factorization.

420444041031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6353 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 420444041031 its reverse (130140444024), we get a palindrome (550584485055).

The spelling of 420444041031 in words is "four hundred twenty billion, four hundred forty-four million, forty-one thousand, thirty-one".

Divisors: 1 3 7 9 21 23 31 63 69 93 161 207 217 279 483 651 713 1449 1953 2139 2423 3863 4991 6417 7269 11589 14973 16961 21807 27041 34767 44919 50883 55729 75113 81123 88849 119753 152649 167187 225339 243369 266547 359259 390103 501561 525791 621943 676017 799641 838271 1077777 1170309 1577373 1727599 1865829 2514813 2754319 3510927 4732119 5182797 5597487 7544439 8262957 9360049 12093193 15548391 19280233 24788871 28080147 36279579 57840699 65520343 84240441 108838737 173522097 196561029 215281127 290161519 589683087 645843381 870484557 1506967889 1937530143 2031130633 2611453671 4520903667 6093391899 6673714937 13562711001 18280175697 20021144811 46716004559 60063434433 140148013677 420444041031