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1441012032 = 26341372029
BaseRepresentation
bin101010111100100…
…0001100101000000
310201102111222220000
41111321001211000
510422344341112
6354553520000
750465254155
oct12571014500
93642458800
101441012032
1167a460739
12342713000
1319c70ab55
14d954a22c
15867967dc
hex55e41940

1441012032 has 140 divisors (see below), whose sum is σ = 4304911380. Its totient is φ = 476596224.

The previous prime is 1441012009. The next prime is 1441012039. The reversal of 1441012032 is 2302101441.

It can be written as a sum of positive squares in 2 ways, for example, as 1229484096 + 211527936 = 35064^2 + 14544^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1441011996 and 1441012014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441012039) 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, 709194 + ... + 711222.

It is an arithmetic number, because the mean of its divisors is an integer number (30749367).

Almost surely, 21441012032 is an apocalyptic number.

1441012032 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 1441012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152455690).

1441012032 is an abundant number, since it is smaller than the sum of its proper divisors (2863899348).

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

1441012032 is a wasteful number, since it uses less digits than its factorization.

1441012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1441012032 is about 37960.6642723754. The cubic root of 1441012032 is about 1129.5077167560.

Adding to 1441012032 its reverse (2302101441), we get a palindrome (3743113473).

The spelling of 1441012032 in words is "one billion, four hundred forty-one million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 137 144 162 192 216 274 288 324 411 432 548 576 648 822 864 1096 1233 1296 1644 1728 2029 2192 2466 2592 3288 3699 4058 4384 4932 5184 6087 6576 7398 8116 8768 9864 11097 12174 13152 14796 16232 18261 19728 22194 24348 26304 29592 32464 36522 39456 44388 48696 54783 59184 64928 73044 78912 88776 97392 109566 118368 129856 146088 164349 177552 194784 219132 236736 277973 292176 328698 355104 389568 438264 555946 584352 657396 710208 833919 876528 1111892 1168704 1314792 1667838 1753056 2223784 2501757 2629584 3335676 3506112 4447568 5003514 5259168 6671352 7505271 8895136 10007028 10518336 13342704 15010542 17790272 20014056 22515813 26685408 30021084 40028112 45031626 53370816 60042168 80056224 90063252 120084336 160112448 180126504 240168672 360253008 480337344 720506016 1441012032