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4040214204040 = 235753272251631
BaseRepresentation
bin111010110010101111100…
…010000100111010001000
3112022020111110210221010121
4322302233202010322020
51012143324314012130
612332014311553024
7564616163050360
oct72625742047210
915266443727117
104040214204040
111318499654343
1255302b68b774
13233cb5369541
14dd7941499a0
15701666a4d7a
hex3acaf884e88

4040214204040 has 64 divisors (see below), whose sum is σ = 10585143452160. Its totient is φ = 1359080136960.

The previous prime is 4040214203999. The next prime is 4040214204049. The reversal of 4040214204040 is 404024120404.

It is a junction number, because it is equal to n+sod(n) for n = 4040214203996 and 4040214204014.

It is not an unprimeable number, because it can be changed into a prime (4040214204049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136110976 + ... + 136140655.

It is an arithmetic number, because the mean of its divisors is an integer number (165392866440).

Almost surely, 24040214204040 is an apocalyptic number.

4040214204040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040214204040 is an abundant number, since it is smaller than the sum of its proper divisors (6544929248120).

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

4040214204040 is a wasteful number, since it uses less digits than its factorization.

4040214204040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272251702 (or 272251698 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 4040214204040 its reverse (404024120404), we get a palindrome (4444238324444).

The spelling of 4040214204040 in words is "four trillion, forty billion, two hundred fourteen million, two hundred four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1484 1855 2120 2968 3710 7420 14840 272251631 544503262 1089006524 1361258155 1905761417 2178013048 2722516310 3811522834 5445032620 7623045668 9528807085 10890065240 14429336443 15246091336 19057614170 28858672886 38115228340 57717345772 72146682215 76230456680 101005355101 115434691544 144293364430 202010710202 288586728860 404021420404 505026775505 577173457720 808042840808 1010053551010 2020107102020 4040214204040