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1044230302032 = 243673083105319
BaseRepresentation
bin11110011001000001111…
…10011110100101010000
310200211100012112120102120
433030200332132211100
5114102040424131112
62115413543214240
7135305000054631
oct17144076364520
93624305476376
101044230302032
11372945867515
1214a466747380
13776168a63a8
1438780797888
151c269815e8c
hexf320f9e950

1044230302032 has 80 divisors (see below), whose sum is σ = 2738771612160. Its totient is φ = 342767120256.

The previous prime is 1044230302019. The next prime is 1044230302051. The reversal of 1044230302032 is 2302030324401.

1044230302032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1044230301993 and 1044230302011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9862269 + ... + 9967587.

It is an arithmetic number, because the mean of its divisors is an integer number (34234645152).

Almost surely, 21044230302032 is an apocalyptic number.

1044230302032 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 1044230302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369385806080).

1044230302032 is an abundant number, since it is smaller than the sum of its proper divisors (1694541310128).

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

1044230302032 is a wasteful number, since it uses less digits than its factorization.

1044230302032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108480 (or 108474 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1044230302032 its reverse (2302030324401), we get a palindrome (3346260626433).

The spelling of 1044230302032 in words is "one trillion, forty-four billion, two hundred thirty million, three hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3083 3216 6166 9249 12332 18498 24664 36996 49328 73992 105319 147984 206561 210638 315957 413122 421276 619683 631914 826244 842552 1239366 1263828 1652488 1685104 2478732 2527656 3304976 4957464 5055312 7056373 9914928 14112746 21169119 28225492 42338238 56450984 84676476 112901968 169352952 324698477 338705904 649396954 974095431 1298793908 1948190862 2597587816 3896381724 5195175632 7792763448 15585526896 21754797959 43509595918 65264393877 87019191836 130528787754 174038383672 261057575508 348076767344 522115151016 1044230302032