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40027054615460 = 22511216553999221
BaseRepresentation
bin10010001100111100001100…
…10111110010101110100100
312020201112211020221212200022
421012132012113302232210
520221300401440143320
6221044101450334312
711300600504346443
oct1106360627625644
9166645736855608
1040027054615460
1111832418911100
1245a561772a398
1319446c568b473
149c5469696d5a
154962dee8e325
hex2467865f2ba4

40027054615460 has 72 divisors (see below), whose sum is σ = 92398701838968. Its totient is φ = 14554398707200.

The previous prime is 40027054615391. The next prime is 40027054615477. The reversal of 40027054615460 is 6451645072004.

40027054615460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16200882601024 + 23826172014436 = 4025032^2 + 4881206^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39558650 + ... + 40557870.

It is an arithmetic number, because the mean of its divisors is an integer number (1283315303319).

Almost surely, 240027054615460 is an apocalyptic number.

It is an amenable number.

40027054615460 is an abundant number, since it is smaller than the sum of its proper divisors (52371647223508).

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

40027054615460 is a wasteful number, since it uses less digits than its factorization.

40027054615460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015805 (or 1015792 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 44.

Adding to 40027054615460 its reverse (6451645072004), we get a palindrome (46478699687464).

The spelling of 40027054615460 in words is "forty trillion, twenty-seven billion, fifty-four million, six hundred fifteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 16553 33106 66212 82765 165530 182083 331060 364166 728332 910415 999221 1820830 1998442 2002913 3641660 3996884 4005826 4996105 8011652 9992210 10014565 10991431 19984420 20029130 21982862 40058260 43965724 54957155 109914310 120905741 219828620 241811482 483622964 604528705 1209057410 2418114820 16540105213 33080210426 66160420852 82700526065 165401052130 181941157343 330802104260 363882314686 727764629372 909705786715 1819411573430 2001352730773 3638823146860 4002705461546 8005410923092 10006763653865 20013527307730 40027054615460