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41319113472000 = 2113753713811
BaseRepresentation
bin10010110010100010110110…
…00101001011100000000000
312102022001212001122110000000
421121101123011023200000
520403433021022101000
6223513423320000000
711463131102413320
oct1131213305134000
9172261761573000
1041319113472000
1112190379405711
124773b07600000
131a094b64ac140
14a2bbda2d9280
154b9c11b43000
hex25945b14b800

41319113472000 has 3072 divisors, whose sum is σ = 190557655142400. Its totient is φ = 8707129344000.

The previous prime is 41319113471969. The next prime is 41319113472073. The reversal of 41319113472000 is 27431191314.

It is a happy number.

41319113472000 is a `hidden beast` number, since 4 + 1 + 319 + 1 + 134 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×413191134720002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 255 ways as a sum of consecutive naturals, for example, 50948351595 + ... + 50948352405.

It is an arithmetic number, because the mean of its divisors is an integer number (62030486700).

Almost surely, 241319113472000 is an apocalyptic number.

41319113472000 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 41319113472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95278827571200).

41319113472000 is an abundant number, since it is smaller than the sum of its proper divisors (149238541670400).

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

41319113472000 is an frugal number, since it uses more digits than its factorization.

41319113472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 41319113472000 in words is "forty-one trillion, three hundred nineteen billion, one hundred thirteen million, four hundred seventy-two thousand".