Search a number
-
+
41323350101200 = 2452157658015129
BaseRepresentation
bin10010110010101010101111…
…00110101000110011010000
312102022110210022121111200121
421121111113212220303100
520404020210111214300
6223515403541400024
711463341065233046
oct1131252746506320
9172273708544617
1041323350101200
111219215291a962
1247748aa409014
131a09a1014131b
14a2c0bcc48396
154b9dada5a81a
hex2595579a8cd0

41323350101200 has 60 divisors (see below), whose sum is σ = 99911701308940. Its totient is φ = 16424057594880.

The previous prime is 41323350101179. The next prime is 41323350101203. The reversal of 41323350101200 is 210105332314.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 366780429376 + 40956569671824 = 605624^2 + 6399732^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41323350101203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328944765 + ... + 329070364.

Almost surely, 241323350101200 is an apocalyptic number.

41323350101200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41323350101200 is an abundant number, since it is smaller than the sum of its proper divisors (58588351207740).

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

41323350101200 is a wasteful number, since it uses less digits than its factorization.

41323350101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658015304 (or 658015293 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 41323350101200 its reverse (210105332314), we get a palindrome (41533455433514).

The spelling of 41323350101200 in words is "forty-one trillion, three hundred twenty-three billion, three hundred fifty million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 157 200 314 400 628 785 1256 1570 2512 3140 3925 6280 7850 12560 15700 31400 62800 658015129 1316030258 2632060516 3290075645 5264121032 6580151290 10528242064 13160302580 16450378225 26320605160 32900756450 52641210320 65801512900 103308375253 131603025800 206616750506 263206051600 413233501012 516541876265 826467002024 1033083752530 1652934004048 2066167505060 2582709381325 4132335010120 5165418762650 8264670020240 10330837525300 20661675050600 41323350101200