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40895476343136 = 25331923317341681
BaseRepresentation
bin10010100110001101110000…
…10101110010000101100000
312100210120101001122111221000
421103012320111302011200
520330012413420440021
6222551042242032000
711420413012264212
oct1123067025620540
9170716331574830
1040895476343136
1112037746286578
124705998348600
1319a8571ab631c
14a154ccb985b2
154adbba035b26
hex2531b8572160

40895476343136 has 384 divisors, whose sum is σ = 131428938009600. Its totient is φ = 12313862922240.

The previous prime is 40895476343119. The next prime is 40895476343167. The reversal of 40895476343136 is 63134367459804.

It is a happy number.

40895476343136 is a `hidden beast` number, since 4 + 0 + 8 + 95 + 4 + 76 + 343 + 136 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119518216 + ... + 119859896.

It is an arithmetic number, because the mean of its divisors is an integer number (342262859400).

Almost surely, 240895476343136 is an apocalyptic number.

40895476343136 is a gapful number since it is divisible by the number (46) 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 40895476343136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65714469004800).

40895476343136 is an abundant number, since it is smaller than the sum of its proper divisors (90533461666464).

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

40895476343136 is a wasteful number, since it uses less digits than its factorization.

40895476343136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342059 (or 342045 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 40895476343136 in words is "forty trillion, eight hundred ninety-five billion, four hundred seventy-six million, three hundred forty-three thousand, one hundred thirty-six".