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41022313920 = 263457232299
BaseRepresentation
bin100110001101000111…
…101101010111000000
310220212220201110120000
4212031013231113000
51133003203021140
630502334320000
72651366625600
oct461507552700
9126786643500
1041022313920
1116441032685
127b4a359000
133b39b03143
141db2286c00
151101624a30
hex98d1ed5c0

41022313920 has 420 divisors, whose sum is σ = 169753102200. Its totient is φ = 9376238592.

The previous prime is 41022313901. The next prime is 41022313949. The reversal of 41022313920 is 2931322014.

It is a happy number.

41022313920 is a `hidden beast` number, since 41 + 0 + 2 + 231 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 1253931 + ... + 1286229.

Almost surely, 241022313920 is an apocalyptic number.

41022313920 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 41022313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84876551100).

41022313920 is an abundant number, since it is smaller than the sum of its proper divisors (128730788280).

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

41022313920 is a wasteful number, since it uses less digits than its factorization.

41022313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32342 (or 32316 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 41022313920 its reverse (2931322014), we get a palindrome (43953635934).

The spelling of 41022313920 in words is "forty-one billion, twenty-two million, three hundred thirteen thousand, nine hundred twenty".