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1032444143232 = 27315135350441
BaseRepresentation
bin11110000011000100111…
…01110110011010000000
310122200220210210200001120
433001202131312122000
5113403421200040412
62110144233032240
7134406633263625
oct17014235663200
93580823720046
101032444143232
11368947891a07
12148117555680
1376488b33c28
1437d8332234c
151bcc9c35b8c
hexf062776680

1032444143232 has 128 divisors (see below), whose sum is σ = 2768466798720. Its totient is φ = 340893696000.

The previous prime is 1032444143221. The next prime is 1032444143257. The reversal of 1032444143232 is 2323414442301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1032444143193 and 1032444143202.

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, 20443132 + ... + 20493572.

It is an arithmetic number, because the mean of its divisors is an integer number (21628646865).

Almost surely, 21032444143232 is an apocalyptic number.

1032444143232 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 1032444143232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384233399360).

1032444143232 is an abundant number, since it is smaller than the sum of its proper divisors (1736022655488).

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

1032444143232 is a wasteful number, since it uses less digits than its factorization.

1032444143232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50962 (or 50950 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 1032444143232 its reverse (2323414442301), we get a palindrome (3355858585533).

The spelling of 1032444143232 in words is "one trillion, thirty-two billion, four hundred forty-four million, one hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 302 353 384 453 604 706 906 1059 1208 1412 1812 2118 2416 2824 3624 4236 4832 5648 7248 8472 9664 11296 14496 16944 19328 22592 28992 33888 45184 50441 53303 57984 67776 100882 106606 135552 151323 159909 201764 213212 302646 319818 403528 426424 605292 639636 807056 852848 1210584 1279272 1614112 1705696 2421168 2558544 3228224 3411392 4842336 5117088 6456448 6822784 7616591 9684672 10234176 15233182 17805673 19369344 20468352 22849773 30466364 35611346 45699546 53417019 60932728 71222692 91399092 106834038 121865456 142445384 182798184 213668076 243730912 284890768 365596368 427336152 487461824 569781536 731192736 854672304 974923648 1139563072 1462385472 1709344608 2279126144 2688656623 2924770944 3418689216 5377313246 6837378432 8065969869 10754626492 16131939738 21509252984 32263879476 43018505968 64527758952 86037011936 129055517904 172074023872 258111035808 344148047744 516222071616 1032444143232