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140144312 = 2373114643
BaseRepresentation
bin10000101101001…
…10111010111000
3100202201001212002
420112212322320
5241334104222
621523440132
73321131000
oct1026467270
9322631762
10140144312
1172120550
123ab26048
132305ac39
1414881000
15c484392
hex85a6eb8

140144312 has 64 divisors (see below), whose sum is σ = 334368000. Its totient is φ = 54589920.

The previous prime is 140144309. The next prime is 140144317. The reversal of 140144312 is 213441041.

140144312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1401443124 (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140144317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27863 + ... + 32505.

It is an arithmetic number, because the mean of its divisors is an integer number (5224500).

Almost surely, 2140144312 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 140144312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167184000).

140144312 is an abundant number, since it is smaller than the sum of its proper divisors (194223688).

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

140144312 is a wasteful number, since it uses less digits than its factorization.

140144312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4681 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 140144312 is about 11838.2562905185. The cubic root of 140144312 is about 519.4277630144.

Adding to 140144312 its reverse (213441041), we get a palindrome (353585353).

The spelling of 140144312 in words is "one hundred forty million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 343 392 539 616 686 1078 1372 2156 2744 3773 4312 4643 7546 9286 15092 18572 30184 32501 37144 51073 65002 102146 130004 204292 227507 260008 357511 408584 455014 715022 910028 1430044 1592549 1820056 2502577 2860088 3185098 5005154 6370196 10010308 12740392 17518039 20020616 35036078 70072156 140144312