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1106406344384 = 26111571599921
BaseRepresentation
bin10000000110011010111…
…101010000011011000000
310220202211100201210002222
4100012122331100123000
5121111410011010014
62204135343430212
7142635531520265
oct20063275203300
93822740653088
101106406344384
113972515a0390
1215a5192b5368
13804450c72b3
143b79c24d26c
151dba810208e
hex1019af506c0

1106406344384 has 28 divisors (see below), whose sum is σ = 2395118281128. Its totient is φ = 502911974400.

The previous prime is 1106406344383. The next prime is 1106406344467. The reversal of 1106406344384 is 4834436046011.

It is a super-3 number, since 3×11064063443843 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (1106406344383) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 785799257 + ... + 785800664.

Almost surely, 21106406344384 is an apocalyptic number.

It is an amenable number.

1106406344384 is an abundant number, since it is smaller than the sum of its proper divisors (1288711936744).

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

1106406344384 is a wasteful number, since it uses less digits than its factorization.

1106406344384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571599944 (or 1571599934 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The spelling of 1106406344384 in words is "one trillion, one hundred six billion, four hundred six million, three hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1571599921 3143199842 6286399684 12572799368 17287599131 25145598736 34575198262 50291197472 69150396524 100582394944 138300793048 276601586096 553203172192 1106406344384