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1114490459520 = 273251516072111
BaseRepresentation
bin10000001101111100110…
…011101101010110000000
310221112200202102101021200
4100031330303231112000
5121224434024201040
62211553450221200
7143343053413134
oct20157463552600
93845622371250
101114490459520
1139a71a89a779
1215bbb4724800
1381132bab889
143bd27b713c4
151deccbb5630
hex1037cced580

1114490459520 has 384 divisors, whose sum is σ = 3882181754880. Its totient is φ = 294603264000.

The previous prime is 1114490459519. The next prime is 1114490459531. The reversal of 1114490459520 is 259540944111.

1114490459520 is a `hidden beast` number, since 1 + 1 + 14 + 49 + 0 + 4 + 595 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11144904595202 (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 527943265 + ... + 527945375.

It is an arithmetic number, because the mean of its divisors is an integer number (10109848320).

Almost surely, 21114490459520 is an apocalyptic number.

1114490459520 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 1114490459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941090877440).

1114490459520 is an abundant number, since it is smaller than the sum of its proper divisors (2767691295360).

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

1114490459520 is a wasteful number, since it uses less digits than its factorization.

1114490459520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1114490459520 in words is "one trillion, one hundred fourteen billion, four hundred ninety million, four hundred fifty-nine thousand, five hundred twenty".