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11411323434432 = 263219811325407
BaseRepresentation
bin1010011000001110011111…
…1000010011010111000000
31111101220121202021010011200
42212003213320103113000
52443430342244400212
640134142320141200
72255304142531605
oct246034770232700
944356552233150
1011411323434432
1136aa57364a189
121343711167800
1364a1109a124c
142b644d55c6ac
1514bc7c22e6dc
hexa60e7e135c0

11411323434432 has 42 divisors (see below), whose sum is σ = 32708498248608. Its totient is φ = 3803774477952.

The previous prime is 11411323434431. The next prime is 11411323434439. The reversal of 11411323434432 is 23443432311411.

11411323434432 is a `hidden beast` number, since 1 + 1 + 41 + 13 + 234 + 344 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11411323434431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9905662128 + ... + 9905663279.

It is an arithmetic number, because the mean of its divisors is an integer number (778773767824).

Almost surely, 211411323434432 is an apocalyptic number.

11411323434432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11411323434432 is an abundant number, since it is smaller than the sum of its proper divisors (21297174814176).

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

11411323434432 is a wasteful number, since it uses less digits than its factorization.

11411323434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19811325425 (or 19811325412 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 11411323434432 its reverse (23443432311411), we get a palindrome (34854755745843).

The spelling of 11411323434432 in words is "eleven trillion, four hundred eleven billion, three hundred twenty-three million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 19811325407 39622650814 59433976221 79245301628 118867952442 158490603256 178301928663 237735904884 316981206512 356603857326 475471809768 633962413024 713207714652 950943619536 1267924826048 1426415429304 1901887239072 2852830858608 3803774478144 5705661717216 11411323434432