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140442400 = 2552731809
BaseRepresentation
bin10000101111011…
…11101100100000
3100210021012202101
420113233230200
5241423124100
621534100144
73323512030
oct1027575440
9323235671
10140442400
11723044aa
123b04a654
1323133817
141491b8c0
15c4e286a
hex85efb20

140442400 has 144 divisors (see below), whose sum is σ = 404974080. Its totient is φ = 46540800.

The previous prime is 140442371. The next prime is 140442409. The reversal of 140442400 is 4244041.

140442400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (140442409) 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, 173196 + ... + 174004.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2140442400 is an apocalyptic number.

140442400 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 140442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

140442400 is an abundant number, since it is smaller than the sum of its proper divisors (264531680).

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

140442400 is a wasteful number, since it uses less digits than its factorization.

140442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 140442400 is about 11850.8396327011. The cubic root of 140442400 is about 519.7957777935.

Adding to 140442400 its reverse (4244041), we get a palindrome (144686441).

The spelling of 140442400 in words is "one hundred forty million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 50 56 62 70 80 100 112 124 140 155 160 175 200 217 224 248 280 310 350 400 434 496 560 620 700 775 800 809 868 992 1085 1120 1240 1400 1550 1618 1736 2170 2480 2800 3100 3236 3472 4045 4340 4960 5425 5600 5663 6200 6472 6944 8090 8680 10850 11326 12400 12944 16180 17360 20225 21700 22652 24800 25079 25888 28315 32360 34720 40450 43400 45304 50158 56630 64720 80900 86800 90608 100316 113260 125395 129440 141575 161800 173600 175553 181216 200632 226520 250790 283150 323600 351106 401264 453040 501580 566300 626975 647200 702212 802528 877765 906080 1003160 1132600 1253950 1404424 1755530 2006320 2265200 2507900 2808848 3511060 4012640 4388825 4530400 5015800 5617696 7022120 8777650 10031600 14044240 17555300 20063200 28088480 35110600 70221200 140442400