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140442000 = 2435389263
BaseRepresentation
bin10000101111011…
…11100110010000
3100210021012012120
420113233212100
5241423121000
621534054240
73323510616
oct1027574620
9323235176
10140442000
1172304176
123b04a380
132313359a
141491b6b6
15c4e26a0
hex85ef990

140442000 has 160 divisors (see below), whose sum is σ = 459613440. Its totient is φ = 36889600.

The previous prime is 140441989. The next prime is 140442037. The reversal of 140442000 is 244041.

140442000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533869 + ... + 534131.

It is an arithmetic number, because the mean of its divisors is an integer number (2872584).

Almost surely, 2140442000 is an apocalyptic number.

140442000 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 140442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229806720).

140442000 is an abundant number, since it is smaller than the sum of its proper divisors (319171440).

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

140442000 is a wasteful number, since it uses less digits than its factorization.

140442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 140442000 is about 11850.8227562478. The cubic root of 140442000 is about 519.7952843088.

Adding to 140442000 its reverse (244041), we get a palindrome (140686041).

The spelling of 140442000 in words is "one hundred forty million, four hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 89 100 120 125 150 178 200 240 250 263 267 300 356 375 400 445 500 526 534 600 712 750 789 890 1000 1052 1068 1200 1315 1335 1424 1500 1578 1780 2000 2104 2136 2225 2630 2670 3000 3156 3560 3945 4208 4272 4450 5260 5340 6000 6312 6575 6675 7120 7890 8900 10520 10680 11125 12624 13150 13350 15780 17800 19725 21040 21360 22250 23407 26300 26700 31560 32875 33375 35600 39450 44500 46814 52600 53400 63120 65750 66750 70221 78900 89000 93628 98625 105200 106800 117035 131500 133500 140442 157800 178000 187256 197250 234070 263000 267000 280884 315600 351105 374512 394500 468140 526000 534000 561768 585175 702210 789000 936280 1123536 1170350 1404420 1578000 1755525 1872560 2340700 2808840 2925875 3511050 4681400 5617680 5851750 7022100 8777625 9362800 11703500 14044200 17555250 23407000 28088400 35110500 46814000 70221000 140442000