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40122020142405 = 3452919717340577
BaseRepresentation
bin10010001111101101000101…
…10000100001110101000101
312021001121221120100111020000
421013312202300201311011
520224324344124024110
6221155445051231513
711310502030122105
oct1107664260416505
9167047846314200
1040122020142405
1111869720434073
1245bbabb448599
13195064b15c366
149c9cb7c41205
154989ec2131c0
hex247da2c21d45

40122020142405 has 80 divisors (see below), whose sum is σ = 74780202190320. Its totient is φ = 20555657515008.

The previous prime is 40122020142353. The next prime is 40122020142409. The reversal of 40122020142405 is 50424102022104.

It is a happy number.

40122020142405 is a `hidden beast` number, since 4 + 0 + 1 + 220 + 20 + 14 + 2 + 405 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14520535178724 + 25601484963681 = 3810582^2 + 5059791^2 .

It is not a de Polignac number, because 40122020142405 - 220 = 40122019093829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40122020142409) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6356524 + ... + 10984053.

It is an arithmetic number, because the mean of its divisors is an integer number (934752527379).

Almost surely, 240122020142405 is an apocalyptic number.

40122020142405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40122020142405 is a deficient number, since it is larger than the sum of its proper divisors (34658182047915).

40122020142405 is a wasteful number, since it uses less digits than its factorization.

40122020142405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17340820 (or 17340811 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 40122020142405 its reverse (50424102022104), we get a palindrome (90546122164509).

The spelling of 40122020142405 in words is "forty trillion, one hundred twenty-two billion, twenty million, one hundred forty-two thousand, four hundred five".

Divisors: 1 3 5 9 15 27 29 45 81 87 135 145 197 261 405 435 591 783 985 1305 1773 2349 2955 3915 5319 5713 8865 11745 15957 17139 26595 28565 51417 79785 85695 154251 257085 462753 771255 2313765 17340577 52021731 86702885 156065193 260108655 468195579 502876733 780325965 1404586737 1508630199 2340977895 2514383665 3416093669 4525890597 7022933685 7543150995 10248281007 13577671791 17080468345 22629452985 30744843021 40733015373 51241405035 67888358955 92234529063 99066716401 153724215105 203665076865 276703587189 297200149203 461172645315 495333582005 891600447609 1383517935945 1486000746015 2674801342827 4458002238045 8024404028481 13374006714135 40122020142405