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42166654335440 = 2455119310296001
BaseRepresentation
bin10011001011001101100000…
…11100111111100111010000
312112022002111122022021102122
421211212300130333213100
521011324302002213230
6225403032114033412
711611304001034625
oct1145466034774720
9175262448267378
1042166654335440
11124878610a9798
12489021b278868
131a6b3b58a592b
14a5ac3c53a34c
154d1cb8971be5
hex2659b073f9d0

42166654335440 has 40 divisors (see below), whose sum is σ = 98039395908168. Its totient is φ = 16866330624000.

The previous prime is 42166654335397. The next prime is 42166654335451. The reversal of 42166654335440 is 4453345666124.

It can be written as a sum of positive squares in 4 ways, for example, as 540655504 + 42166113679936 = 23252^2 + 6493544^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1052561 + ... + 9243440.

Almost surely, 242166654335440 is an apocalyptic number.

42166654335440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42166654335440 is an abundant number, since it is smaller than the sum of its proper divisors (55872741572728).

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

42166654335440 is a wasteful number, since it uses less digits than its factorization.

42166654335440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10347207 (or 10347201 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 53.

The spelling of 42166654335440 in words is "forty-two trillion, one hundred sixty-six billion, six hundred fifty-four million, three hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 51193 102386 204772 255965 409544 511930 819088 1023860 2047720 4095440 10296001 20592002 41184004 51480005 82368008 102960010 164736016 205920020 411840040 823680080 527083179193 1054166358386 2108332716772 2635415895965 4216665433544 5270831791930 8433330867088 10541663583860 21083327167720 42166654335440