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40144130213140 = 22522919734442521
BaseRepresentation
bin10010010000010110010001…
…00111110000010100010100
312021010202000110100110100201
421020023020213300110110
520230210134313310030
6221213543034550244
711312213653455532
oct1110131047602424
9167122013313321
1040144130213140
1111878036a4a4a8
12460424bb98384
131952762a3c955
149cadb4475152
154993933352ca
hex2482c89f0514

40144130213140 has 48 divisors (see below), whose sum is σ = 84713741214480. Its totient is φ = 15979424578560.

The previous prime is 40144130213119. The next prime is 40144130213183. The reversal of 40144130213140 is 4131203144104.

It can be written as a sum of positive squares in 8 ways, for example, as 139036511376 + 40005093701764 = 372876^2 + 6324958^2 .

It is a super-2 number, since 2×401441302131402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40144130213099 and 40144130213108.

It is a congruent number.

It is an unprimeable number.

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, 6815080 + ... + 11257600.

It is an arithmetic number, because the mean of its divisors is an integer number (1764869608635).

Almost surely, 240144130213140 is an apocalyptic number.

It is an amenable number.

40144130213140 is an abundant number, since it is smaller than the sum of its proper divisors (44569611001340).

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

40144130213140 is a wasteful number, since it uses less digits than its factorization.

40144130213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444732 (or 4444730 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 40144130213140 its reverse (4131203144104), we get a palindrome (44275333357244).

The spelling of 40144130213140 in words is "forty trillion, one hundred forty-four billion, one hundred thirty million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 229 458 916 1145 1973 2290 3946 4580 7892 9865 19730 39460 451817 903634 1807268 2259085 4442521 4518170 8885042 9036340 17770084 22212605 44425210 88850420 1017337309 2034674618 4069349236 5086686545 8765093933 10173373090 17530187866 20346746180 35060375732 43825469665 87650939330 175301878660 2007206510657 4014413021314 8028826042628 10036032553285 20072065106570 40144130213140