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3140444032 = 271119891319
BaseRepresentation
bin1011101100101111…
…0101111110000000
322002212022002022221
42323023311332000
522412423202112
61235342340424
7140552222335
oct27313657600
98085262287
103140444032
1113717760a0
1273788a714
133b0818a0b
1421b12498c
15135a86e07
hexbb2f5f80

3140444032 has 128 divisors (see below), whose sum is σ = 7270560000. Its totient is φ = 1336135680.

The previous prime is 3140443993. The next prime is 3140444039. The reversal of 3140444032 is 2304440413.

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 = 3140443988 and 3140444006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140444039) 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, 2380269 + ... + 2381587.

It is an arithmetic number, because the mean of its divisors is an integer number (56801250).

Almost surely, 23140444032 is an apocalyptic number.

3140444032 is a gapful number since it is divisible by the number (32) 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 3140444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635280000).

3140444032 is an abundant number, since it is smaller than the sum of its proper divisors (4130115968).

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

3140444032 is a wasteful number, since it uses less digits than its factorization.

3140444032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 3140444032 is about 56039.6648098470. The cubic root of 3140444032 is about 1464.4133722763.

Adding to 3140444032 its reverse (2304440413), we get a palindrome (5444884445).

The spelling of 3140444032 in words is "three billion, one hundred forty million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 89 128 152 176 178 209 304 352 356 418 608 704 712 836 979 1216 1319 1408 1424 1672 1691 1958 2432 2638 2848 3344 3382 3916 5276 5696 6688 6764 7832 10552 11392 13376 13528 14509 15664 18601 21104 25061 26752 27056 29018 31328 37202 42208 50122 54112 58036 62656 74404 84416 100244 108224 116072 117391 125312 148808 168832 200488 216448 232144 234782 275671 297616 400976 464288 469564 551342 595232 801952 928576 939128 1102684 1190464 1291301 1603904 1857152 1878256 2205368 2230429 2380928 2582602 3207808 3756512 4410736 4460858 5165204 7513024 8821472 8921716 10330408 15026048 17642944 17843432 20660816 24534719 35285888 35686864 41321632 49069438 71373728 82643264 98138876 142747456 165286528 196277752 285494912 392555504 785111008 1570222016 3140444032