Search a number
-
+
41344374067700 = 225211291296061883
BaseRepresentation
bin10010110011010001111001…
…01110101101000111110100
312102101111001111220122220112
421121220330232231013310
520404341234230131300
6223533202050122152
711465014063060034
oct1131507456550764
9172344044818815
1041344374067700
11121a0061352090
124778997280358
131a0b9b09c7aa2
14a2d1151198c4
154ba6de63de35
hex259a3cbad1f4

41344374067700 has 72 divisors (see below), whose sum is σ = 101248354378080. Its totient is φ = 14515893078400.

The previous prime is 41344374067673. The next prime is 41344374067709. The reversal of 41344374067700 is 776047344314.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41344374067709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 647999042 + ... + 648062841.

It is an arithmetic number, because the mean of its divisors is an integer number (1406227144140).

Almost surely, 241344374067700 is an apocalyptic number.

It is an amenable number.

41344374067700 is an abundant number, since it is smaller than the sum of its proper divisors (59903980310380).

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

41344374067700 is a wasteful number, since it uses less digits than its factorization.

41344374067700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296061937 (or 1296061930 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 50.

The spelling of 41344374067700 in words is "forty-one trillion, three hundred forty-four billion, three hundred seventy-four million, sixty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 6380 7975 15950 31900 1296061883 2592123766 5184247532 6480309415 12960618830 14256680713 25921237660 28513361426 32401547075 37585794607 57026722852 64803094150 71283403565 75171589214 129606188300 142566807130 150343178428 187928973035 285133614260 356417017825 375857946070 413443740677 712834035650 751715892140 826887481354 939644865175 1425668071300 1653774962708 1879289730350 2067218703385 3758579460700 4134437406770 8268874813540 10336093516925 20672187033850 41344374067700