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1114431022320 = 2435711378918313
BaseRepresentation
bin10000001101111001010…
…000111110010011110000
310221112112121120122202220
4100031321100332103300
5121224323320203240
62211543524241040
7143341432251630
oct20157120762360
93845477518686
101114431022320
1139a69a293720
1215bb98840180
138112379ab35
143bd1dcdc6c0
151dec78745d0
hex1037943e4f0

1114431022320 has 640 divisors, whose sum is σ = 4473562245120. Its totient is φ = 222767677440.

The previous prime is 1114431022303. The next prime is 1114431022349. The reversal of 1114431022320 is 232201344111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 60845484 + ... + 60863796.

It is an arithmetic number, because the mean of its divisors is an integer number (6989941008).

Almost surely, 21114431022320 is an apocalyptic number.

1114431022320 is a gapful number since it is divisible by the number (10) 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 1114431022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236781122560).

1114431022320 is an abundant number, since it is smaller than the sum of its proper divisors (3359131222800).

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

1114431022320 is a wasteful number, since it uses less digits than its factorization.

1114431022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18473 (or 18467 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1114431022320 its reverse (232201344111), we get a palindrome (1346632366431).

The spelling of 1114431022320 in words is "one trillion, one hundred fourteen billion, four hundred thirty-one million, twenty-two thousand, three hundred twenty".