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40246407773640 = 23335432813084101
BaseRepresentation
bin10010010011010100110001…
…10101101011110111001000
312021111112000100121212021000
421021222120311223313020
520233344120342224030
6221332540002015000
711322464334416235
oct1111523065536710
9167445010555230
1040246407773640
1111907450a6a502
124620034647460
13195c2b2368913
149d1d17ba278c
1549bd7c4ac860
hex249a98d6bdc8

40246407773640 has 256 divisors, whose sum is σ = 137763135417600. Its totient is φ = 10445476608000.

The previous prime is 40246407773633. The next prime is 40246407773699. The reversal of 40246407773640 is 4637770464204.

40246407773640 is a `hidden beast` number, since 4 + 0 + 2 + 464 + 0 + 77 + 73 + 6 + 40 = 666.

40246407773640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×402464077736402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 11507590 + ... + 14591690.

It is an arithmetic number, because the mean of its divisors is an integer number (538137247725).

Almost surely, 240246407773640 is an apocalyptic number.

40246407773640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40246407773640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68881567708800).

40246407773640 is an abundant number, since it is smaller than the sum of its proper divisors (97516727643960).

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

40246407773640 is a wasteful number, since it uses less digits than its factorization.

40246407773640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084445 (or 3084435 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 54.

The spelling of 40246407773640 in words is "forty trillion, two hundred forty-six billion, four hundred seven million, seven hundred seventy-three thousand, six hundred forty".