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140020144 = 24114716927
BaseRepresentation
bin10000101100010…
…00100110110000
3100202110202112021
420112020212300
5241321121034
621521041224
73320102665
oct1026104660
9322422467
10140020144
1172046230
123aa86214
1323016574
141484ba6c
15c45c6b4
hex85889b0

140020144 has 40 divisors (see below), whose sum is σ = 302266368. Its totient is φ = 62287680.

The previous prime is 140020141. The next prime is 140020171. The reversal of 140020144 is 441020041.

140020144 is digitally balanced in base 3, 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 (16).

It is not an unprimeable number, because it can be changed into a prime (140020141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192 + ... + 16735.

Almost surely, 2140020144 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 140020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151133184).

140020144 is an abundant number, since it is smaller than the sum of its proper divisors (162246224).

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

140020144 is a wasteful number, since it uses less digits than its factorization.

140020144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16993 (or 16987 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 140020144 is about 11833.0107749465. The cubic root of 140020144 is about 519.2743131815.

Adding to 140020144 its reverse (441020041), we get a palindrome (581040185).

The spelling of 140020144 in words is "one hundred forty million, twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 752 1034 2068 4136 8272 16927 33854 67708 135416 186197 270832 372394 744788 795569 1489576 1591138 2979152 3182276 6364552 8751259 12729104 17502518 35005036 70010072 140020144