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41204011398 = 231131163123551
BaseRepresentation
bin100110010111111100…
…110101000110000110
310221100120121122122020
4212113330311012012
51133341211331043
630532344544010
72656034214054
oct462774650606
9127316548566
1041204011398
1116524654690
127b9b182006
133b6864c844
141dcc4631d4
151112565e83
hex997f35186

41204011398 has 64 divisors (see below), whose sum is σ = 93369729024. Its totient is φ = 12009060000.

The previous prime is 41204011379. The next prime is 41204011399. The reversal of 41204011398 is 89311040214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41204011399) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 271723 + ... + 395273.

It is an arithmetic number, because the mean of its divisors is an integer number (1458902016).

Almost surely, 241204011398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41204011398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46684864512).

41204011398 is an abundant number, since it is smaller than the sum of its proper divisors (52165717626).

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

41204011398 is a wasteful number, since it uses less digits than its factorization.

41204011398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123761.

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 41204011398 in words is "forty-one billion, two hundred four million, eleven thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 163 186 326 341 489 682 978 1023 1793 2046 3586 5053 5379 10106 10758 15159 30318 55583 111166 123551 166749 247102 333498 370653 741306 1359061 2718122 3830081 4077183 7660162 8154366 11490243 20138813 22980486 40277626 42130891 60416439 84261782 120832878 126392673 221526943 252785346 443053886 624303203 664580829 1248606406 1329161658 1872909609 3745819218 6867335233 13734670466 20602005699 41204011398