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1241794492416 = 211331719251277
BaseRepresentation
bin10010000100100000101…
…110000011100000000000
311101201021210102022022000
4102010200232003200000
5130321143342224131
62350250021344000
7155500553012112
oct22044056034000
94351253368260
101241794492416
11439707687915
12180802568000
139014037c4aa
14441631773b2
152247deddce6
hex12120b83800

1241794492416 has 768 divisors, whose sum is σ = 4131062208000. Its totient is φ = 366280704000.

The previous prime is 1241794492357. The next prime is 1241794492423. The reversal of 1241794492416 is 6142944971421.

1241794492416 is a `hidden beast` number, since 1 + 2 + 4 + 179 + 449 + 24 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×12417944924162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4483012470 + ... + 4483012746.

It is an arithmetic number, because the mean of its divisors is an integer number (5378987250).

Almost surely, 21241794492416 is an apocalyptic number.

1241794492416 is a gapful number since it is divisible by the number (16) 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 1241794492416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065531104000).

1241794492416 is an abundant number, since it is smaller than the sum of its proper divisors (2889267715584).

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

1241794492416 is a wasteful number, since it uses less digits than its factorization.

1241794492416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 569 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 1241794492416 in words is "one trillion, two hundred forty-one billion, seven hundred ninety-four million, four hundred ninety-two thousand, four hundred sixteen".