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140041400 = 235219137269
BaseRepresentation
bin10000101100011…
…01110010111000
3100202111211200112
420112031302320
5241322311100
621521323452
73320221652
oct1026156270
9322454615
10140041400
11720601a4
123aa96588
1323023145
14148556d2
15c463b35
hex858dcb8

140041400 has 96 divisors (see below), whose sum is σ = 346518000. Its totient is φ = 52485120.

The previous prime is 140041399. The next prime is 140041403. The reversal of 140041400 is 4140041.

It is a super-2 number, since 2×1400414002 = 39223187427920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140041403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520466 + ... + 520734.

Almost surely, 2140041400 is an apocalyptic number.

140041400 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 140041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173259000).

140041400 is an abundant number, since it is smaller than the sum of its proper divisors (206476600).

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

140041400 is a wasteful number, since it uses less digits than its factorization.

140041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 140041400 is about 11833.9089061899. The cubic root of 140041400 is about 519.3005882969.

Adding to 140041400 its reverse (4140041), we get a palindrome (144181441).

The spelling of 140041400 in words is "one hundred forty million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 137 152 190 200 269 274 380 475 538 548 685 760 950 1076 1096 1345 1370 1900 2152 2603 2690 2740 3425 3800 5111 5206 5380 5480 6725 6850 10222 10412 10760 13015 13450 13700 20444 20824 25555 26030 26900 27400 36853 40888 51110 52060 53800 65075 73706 102220 104120 127775 130150 147412 184265 204440 255550 260300 294824 368530 511100 520600 700207 737060 921325 1022200 1400414 1474120 1842650 2800828 3501035 3685300 5601656 7002070 7370600 14004140 17505175 28008280 35010350 70020700 140041400