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201024040014 = 232764712771931
BaseRepresentation
bin1011101100110111110…
…1110110110001001110
3201012212201012022022100
42323031331312301032
511243144123240024
6232203230455530
720344364101260
oct2731575666116
9635781168270
10201024040014
1178287914666
1232b626645a6
1315c58525605
149a300c9b30
1553683037c9
hex2ecdf76c4e

201024040014 has 96 divisors (see below), whose sum is σ = 499191952896. Its totient is φ = 57272086080.

The previous prime is 201024040013. The next prime is 201024040097. The reversal of 201024040014 is 410040420102.

201024040014 is a `hidden beast` number, since 2 + 0 + 10 + 240 + 400 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201024040013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104102629 + ... + 104104559.

It is an arithmetic number, because the mean of its divisors is an integer number (5199916176).

Almost surely, 2201024040014 is an apocalyptic number.

201024040014 is an abundant number, since it is smaller than the sum of its proper divisors (298167912882).

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

201024040014 is a wasteful number, since it uses less digits than its factorization.

201024040014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201024040014 its reverse (410040420102), we get a palindrome (611064460116).

The spelling of 201024040014 in words is "two hundred one billion, twenty-four million, forty thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 647 1277 1294 1931 1941 2554 3831 3862 3882 4529 5793 5823 7662 8939 9058 11493 11586 11646 13517 13587 17379 17878 22986 26817 27034 27174 34758 40551 40761 53634 80451 81102 81522 121653 160902 243306 826219 1249357 1652438 2465887 2478657 2498714 3748071 4931774 4957314 5783533 7397661 7435971 7496142 8745499 11244213 11567066 14795322 14871942 17261209 17350599 17490998 22192983 22488426 26236497 34522418 34701198 44385966 51783627 52051797 52472994 78709491 103567254 104103594 155350881 157418982 310701762 1595428889 3190857778 4786286667 9572573334 11168002223 14358860001 22336004446 28717720002 33504006669 67008013338 100512020007 201024040014