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80241140432880 = 243257197311478631
BaseRepresentation
bin10010001111101010011000…
…101010111111111111110000
3101112002222102001010020102200
4102033222120222333333300
541004132323422323010
6442354134312543200
722621142156021340
oct2217523052777760
9345088361106380
1080241140432880
112362709298a499
128bbb32b6b1b00
1335a09265a01ab
1415b59988a8d20
159423c9a65cc0
hex48fa98abfff0

80241140432880 has 480 divisors, whose sum is σ = 328623132963840. Its totient is φ = 17137502760960.

The previous prime is 80241140432863. The next prime is 80241140432939. The reversal of 80241140432880 is 8823404114208.

80241140432880 is a `hidden beast` number, since 8 + 0 + 24 + 114 + 0 + 432 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1251165 + ... + 12729795.

It is an arithmetic number, because the mean of its divisors is an integer number (684631527008).

Almost surely, 280241140432880 is an apocalyptic number.

80241140432880 is a gapful number since it is divisible by the number (80) 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 80241140432880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164311566481920).

80241140432880 is an abundant number, since it is smaller than the sum of its proper divisors (248381992530960).

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

80241140432880 is a wasteful number, since it uses less digits than its factorization.

80241140432880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11478749 (or 11478740 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 80241140432880 in words is "eighty trillion, two hundred forty-one billion, one hundred forty million, four hundred thirty-two thousand, eight hundred eighty".