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140040144 = 24333110457
BaseRepresentation
bin10000101100011…
…01011111010000
3100202111202222000
420112031133100
5241322241034
621521314000
73320215206
oct1026153720
9322452860
10140040144
117205a262
123aa95900
13230226ba
1414855076
15c463599
hex858d7d0

140040144 has 80 divisors (see below), whose sum is σ = 414973440. Its totient is φ = 45169920.

The previous prime is 140040143. The next prime is 140040149. The reversal of 140040144 is 441040041.

It is a super-2 number, since 2×1400401442 = 39222483863081472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140040143) 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 15 ways as a sum of consecutive naturals, for example, 8164 + ... + 18620.

It is an arithmetic number, because the mean of its divisors is an integer number (5187168).

Almost surely, 2140040144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207486720).

140040144 is an abundant number, since it is smaller than the sum of its proper divisors (274933296).

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

140040144 is a wasteful number, since it uses less digits than its factorization.

140040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10505 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 140040144 is about 11833.8558382296. The cubic root of 140040144 is about 519.2990357953.

Adding to 140040144 its reverse (441040041), we get a palindrome (581080185).

The spelling of 140040144 in words is "one hundred forty million, forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 10457 13392 20914 31371 41828 62742 83656 94113 125484 167312 188226 250968 282339 324167 376452 501936 564678 648334 752904 972501 1129356 1296668 1505808 1945002 2258712 2593336 2917503 3890004 4517424 5186672 5835006 7780008 8752509 11670012 15560016 17505018 23340024 35010036 46680048 70020072 140040144