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13444402032 = 243428573631
BaseRepresentation
bin11001000010101100…
…10100101101110000
31021200222000101110000
430201112110231300
5210013231331112
610102024110000
7654110350245
oct144126245560
937628011400
1013444402032
11577a018266
122732605300
13136348b699
149177ab5cc
1553a4867dc
hex321594b70

13444402032 has 100 divisors (see below), whose sum is σ = 38936340256. Its totient is φ = 4478664960.

The previous prime is 13444402031. The next prime is 13444402057. The reversal of 13444402032 is 23020444431.

It is a happy number.

13444402032 is a `hidden beast` number, since 13 + 4 + 4 + 440 + 203 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13444401987 and 13444402005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13444402031) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3700857 + ... + 3704487.

Almost surely, 213444402032 is an apocalyptic number.

13444402032 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 13444402032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19468170128).

13444402032 is an abundant number, since it is smaller than the sum of its proper divisors (25491938224).

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

13444402032 is a wasteful number, since it uses less digits than its factorization.

13444402032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6508 (or 6493 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 13444402032 its reverse (23020444431), we get a palindrome (36464846463).

The spelling of 13444402032 in words is "thirteen billion, four hundred forty-four million, four hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2857 3631 5714 7262 8571 10893 11428 14524 17142 21786 22856 25713 29048 32679 34284 43572 45712 51426 58096 65358 68568 77139 87144 98037 102852 130716 137136 154278 174288 196074 205704 231417 261432 294111 308556 392148 411408 462834 522864 588222 617112 784296 925668 1176444 1234224 1568592 1851336 2352888 3702672 4705776 10373767 20747534 31121301 41495068 62242602 82990136 93363903 124485204 165980272 186727806 248970408 280091709 373455612 497940816 560183418 746911224 840275127 1120366836 1493822448 1680550254 2240733672 3361100508 4481467344 6722201016 13444402032