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420331132984 = 237313128318691
BaseRepresentation
bin1100001110111011011…
…00000001100000111000
31111011221121011221022011
412013131230001200320
523341314232223414
6521033014535304
742240124452130
oct6073554014070
91434847157264
10420331132984
11152296a6a544
1269568067534
13308387c4649
14164b6443ac0
15ae01772dc4
hex61ddb01838

420331132984 has 64 divisors (see below), whose sum is σ = 904339895040. Its totient is φ = 179416823040.

The previous prime is 420331132981. The next prime is 420331132997. The reversal of 420331132984 is 489231133024.

It is a super-2 number, since 2×4203311329842 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420331132981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22479079 + ... + 22497769.

It is an arithmetic number, because the mean of its divisors is an integer number (14130310860).

Almost surely, 2420331132984 is an apocalyptic number.

It is an amenable number.

420331132984 is an abundant number, since it is smaller than the sum of its proper divisors (484008762056).

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

420331132984 is a wasteful number, since it uses less digits than its factorization.

420331132984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20300 (or 20296 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

Adding to 420331132984 its sum of digits (40), we get a palindrome (420331133024).

The spelling of 420331132984 in words is "four hundred twenty billion, three hundred thirty-one million, one hundred thirty-two thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 56 313 626 1252 1283 2191 2504 2566 4382 5132 8764 8981 10264 17528 17962 18691 35924 37382 71848 74764 130837 149528 261674 401579 523348 803158 1046696 1606316 2811053 3212632 5622106 5850283 11244212 11700566 22488424 23401132 23980553 40951981 46802264 47961106 81903962 95922212 163807924 167863871 191844424 327615848 335727742 671455484 1342910968 7505913089 15011826178 30023652356 52541391623 60047304712 105082783246 210165566492 420331132984