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1103441214432 = 25341641437357
BaseRepresentation
bin10000000011101010001…
…110001011101111100000
310220111011201022120111010
4100003222032023233200
5121034321422330212
62202525222420520
7142502205365454
oct20035216135740
93814151276433
101103441214432
11395a6a887367
12159a30291740
1380091a0162b
143b59a522664
151da82b4a03c
hex100ea38bbe0

1103441214432 has 96 divisors (see below), whose sum is σ = 2971816120224. Its totient is φ = 358282035200.

The previous prime is 1103441214401. The next prime is 1103441214437. The reversal of 1103441214432 is 2344121443011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1103441214432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103441214437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2304298 + ... + 2741654.

It is an arithmetic number, because the mean of its divisors is an integer number (30956417919).

Almost surely, 21103441214432 is an apocalyptic number.

1103441214432 is a gapful number since it is divisible by the number (12) 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 1103441214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485908060112).

1103441214432 is an abundant number, since it is smaller than the sum of its proper divisors (1868374905792).

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

1103441214432 is a wasteful number, since it uses less digits than its factorization.

1103441214432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438052 (or 438044 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1103441214432 its reverse (2344121443011), we get a palindrome (3447562657443).

The spelling of 1103441214432 in words is "one trillion, one hundred three billion, four hundred forty-one million, two hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 641 656 984 1282 1312 1923 1968 2564 3846 3936 5128 7692 10256 15384 20512 26281 30768 52562 61536 78843 105124 157686 210248 315372 420496 437357 630744 840992 874714 1261488 1312071 1749428 2522976 2624142 3498856 5248284 6997712 10496568 13995424 17931637 20993136 35863274 41986272 53794911 71726548 107589822 143453096 215179644 280345837 286906192 430359288 560691674 573812384 841037511 860718576 1121383348 1682075022 1721437152 2242766696 3364150044 4485533392 6728300088 8971066784 11494179317 13456600176 22988358634 26913200352 34482537951 45976717268 68965075902 91953434536 137930151804 183906869072 275860303608 367813738144 551720607216 1103441214432