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41344952327400 = 233524115569107951
BaseRepresentation
bin10010110011010010111110…
…01100100101110011101000
312102101112112211000022002110
421121221133030211303220
520404343430243434100
6223533335304202320
711465034314151261
oct1131513714456350
9172345484008073
1041344952327400
11121a0328801167
124778b18a693a0
131a0ba737510a7
14a2d16bc43968
154ba7252b5250
hex259a5f325ce8

41344952327400 has 192 divisors, whose sum is σ = 131305083436800. Its totient is φ = 10755619840000.

The previous prime is 41344952327389. The next prime is 41344952327461. The reversal of 41344952327400 is 472325944314.

It is a self number, because there is not a number n which added to its sum of digits gives 41344952327400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382943425 + ... + 383051375.

It is an arithmetic number, because the mean of its divisors is an integer number (683880642900).

Almost surely, 241344952327400 is an apocalyptic number.

41344952327400 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 41344952327400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65652541718400).

41344952327400 is an abundant number, since it is smaller than the sum of its proper divisors (89960131109400).

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

41344952327400 is a wasteful number, since it uses less digits than its factorization.

41344952327400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123580 (or 123571 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 41344952327400 in words is "forty-one trillion, three hundred forty-four billion, nine hundred fifty-two million, three hundred twenty-seven thousand, four hundred".