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140314440 = 233574487
BaseRepresentation
bin10000101110100…
…00011101001000
3100210000201020010
420113100131020
5241410030230
621531231520
73322440000
oct1027203510
9323021203
10140314440
1172227352
123aba85a0
13230ba4c6
14148c7000
15c4b99b0
hex85d0748

140314440 has 160 divisors (see below), whose sum is σ = 492079680. Its totient is φ = 32006016.

The previous prime is 140314429. The next prime is 140314451. The reversal of 140314440 is 44413041.

It is an interprime number because it is at equal distance from previous prime (140314429) and next prime (140314451).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 287877 + ... + 288363.

It is an arithmetic number, because the mean of its divisors is an integer number (3075498).

Almost surely, 2140314440 is an apocalyptic number.

140314440 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 140314440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246039840).

140314440 is an abundant number, since it is smaller than the sum of its proper divisors (351765240).

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

140314440 is an equidigital number, since it uses as much as digits as its factorization.

140314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 140314440 is about 11845.4396288192. The cubic root of 140314440 is about 519.6378642326.

Adding to 140314440 its reverse (44413041), we get a palindrome (184727481).

The spelling of 140314440 in words is "one hundred forty million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 392 420 487 490 588 686 735 840 974 980 1029 1176 1372 1461 1470 1715 1948 1960 2058 2401 2435 2744 2922 2940 3409 3430 3896 4116 4802 4870 5145 5844 5880 6818 6860 7203 7305 8232 9604 9740 10227 10290 11688 12005 13636 13720 14406 14610 17045 19208 19480 20454 20580 23863 24010 27272 28812 29220 34090 36015 40908 41160 47726 48020 51135 57624 58440 68180 71589 72030 81816 95452 96040 102270 119315 136360 143178 144060 167041 190904 204540 238630 286356 288120 334082 357945 409080 477260 501123 572712 668164 715890 835205 954520 1002246 1169287 1336328 1431780 1670410 2004492 2338574 2505615 2863560 3340820 3507861 4008984 4677148 5011230 5846435 6681640 7015722 9354296 10022460 11692870 14031444 17539305 20044920 23385740 28062888 35078610 46771480 70157220 140314440