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140301440 = 275257853
BaseRepresentation
bin10000101110011…
…01010010000000
3100210000001101122
420113031102000
5241404121230
621531051412
73322354046
oct1027152200
9323001348
10140301440
1172218604
123aba0b68
13230b4606
14148c2396
15c4b5be5
hex85cd480

140301440 has 64 divisors (see below), whose sum is σ = 337107960. Its totient is φ = 55836672.

The previous prime is 140301431. The next prime is 140301451. The reversal of 140301440 is 44103041.

It can be written as a sum of positive squares in 4 ways, for example, as 118548544 + 21752896 = 10888^2 + 4664^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164054 + ... + 164906.

Almost surely, 2140301440 is an apocalyptic number.

140301440 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 140301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168553980).

140301440 is an abundant number, since it is smaller than the sum of its proper divisors (196806520).

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

140301440 is an equidigital number, since it uses as much as digits as its factorization.

140301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 140301440 is about 11844.8908817262. The cubic root of 140301440 is about 519.6218157516.

Adding to 140301440 its reverse (44103041), we get a palindrome (184404481).

The spelling of 140301440 in words is "one hundred forty million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 257 320 514 640 853 1028 1285 1706 2056 2570 3412 4112 4265 5140 6824 8224 8530 10280 13648 16448 17060 20560 27296 32896 34120 41120 54592 68240 82240 109184 136480 164480 219221 272960 438442 545920 876884 1096105 1753768 2192210 3507536 4384420 7015072 8768840 14030144 17537680 28060288 35075360 70150720 140301440