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140214144 = 273752163
BaseRepresentation
bin10000101101101…
…11111110000000
3100202211121122110
420112313332000
5241343323034
621525135320
73321541410
oct1026677600
9322747573
10140214144
1172168a64
123ab5a540
1323083965
141489c640
15c499de9
hex85b7f80

140214144 has 64 divisors (see below), whose sum is σ = 425658240. Its totient is φ = 40060416.

The previous prime is 140214143. The next prime is 140214161. The reversal of 140214144 is 441412041.

140214144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 140214144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140214143) 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, 23394 + ... + 28769.

It is an arithmetic number, because the mean of its divisors is an integer number (6650910).

Almost surely, 2140214144 is an apocalyptic number.

140214144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

140214144 is an abundant number, since it is smaller than the sum of its proper divisors (285444096).

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

140214144 is an equidigital number, since it uses as much as digits as its factorization.

140214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52187 (or 52175 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 140214144 is about 11841.2053440518. The cubic root of 140214144 is about 519.5140232795.

Adding to 140214144 its reverse (441412041), we get a palindrome (581626185).

The spelling of 140214144 in words is "one hundred forty million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 52163 104326 156489 208652 312978 365141 417304 625956 730282 834608 1095423 1251912 1460564 1669216 2190846 2503824 2921128 3338432 4381692 5007648 5842256 6676864 8763384 10015296 11684512 17526768 20030592 23369024 35053536 46738048 70107072 140214144