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140044320 = 25325137481
BaseRepresentation
bin10000101100011…
…10100000100000
3100202111222200200
420112032200200
5241322404240
621521345200
73320233323
oct1026164040
9322458620
10140044320
1172062409
123aa98200
1323024580
14148567ba
15c464930
hex858e820

140044320 has 144 divisors (see below), whose sum is σ = 514731672. Its totient is φ = 34467840.

The previous prime is 140044319. The next prime is 140044321. The reversal of 140044320 is 23440041.

It is an interprime number because it is at equal distance from previous prime (140044319) and next prime (140044321).

It can be written as a sum of positive squares in 4 ways, for example, as 113294736 + 26749584 = 10644^2 + 5172^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1400443202 = 39224823128524800, which contains 22 as substring.

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 = 140044293 and 140044302.

It is not an unprimeable number, because it can be changed into a prime (140044321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14980 + ... + 22460.

Almost surely, 2140044320 is an apocalyptic number.

140044320 is a gapful number since it is divisible by the number (10) 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 140044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257365836).

140044320 is an abundant number, since it is smaller than the sum of its proper divisors (374687352).

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

140044320 is a wasteful number, since it uses less digits than its factorization.

140044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7515 (or 7504 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 140044320 is about 11834.0322798275. The cubic root of 140044320 is about 519.3041975800.

Adding to 140044320 its reverse (23440041), we get a palindrome (163484361).

The spelling of 140044320 in words is "one hundred forty million, forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 7481 9360 14962 18720 22443 29924 37405 44886 59848 67329 74810 89772 97253 112215 119696 134658 149620 179544 194506 224430 239392 269316 291759 299240 336645 359088 389012 448860 486265 538632 583518 598480 673290 718176 778024 875277 897720 972530 1077264 1167036 1196960 1346580 1458795 1556048 1750554 1795440 1945060 2154528 2334072 2693160 2917590 3112096 3501108 3590880 3890120 4376385 4668144 5386320 5835180 7002216 7780240 8752770 9336288 10772640 11670360 14004432 15560480 17505540 23340720 28008864 35011080 46681440 70022160 140044320