Search a number
-
+
140814144 = 26321511619
BaseRepresentation
bin10000110010010…
…10011101000000
3100210222002200200
420121022131000
5242022023034
621550045200
73326620602
oct1031123500
9323862620
10140814144
1172538829
123b1a9800
1323233aa3
14149b7172
15c567a99
hex864a740

140814144 has 84 divisors (see below), whose sum is σ = 406542240. Its totient is φ = 46598400.

The previous prime is 140814143. The next prime is 140814197. The reversal of 140814144 is 441418041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140814143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86167 + ... + 87785.

Almost surely, 2140814144 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 140814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203271120).

140814144 is an abundant number, since it is smaller than the sum of its proper divisors (265728096).

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

140814144 is a wasteful number, since it uses less digits than its factorization.

140814144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 140814144 is about 11866.5135570647. The cubic root of 140814144 is about 520.2539982003.

It can be divided in two parts, 14081 and 4144, that added together give a square (18225 = 1352).

The spelling of 140814144 in words is "one hundred forty million, eight hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 151 192 288 302 453 576 604 906 1208 1359 1619 1812 2416 2718 3238 3624 4832 4857 5436 6476 7248 9664 9714 10872 12952 14496 14571 19428 21744 25904 28992 29142 38856 43488 51808 58284 77712 86976 103616 116568 155424 233136 244469 310848 466272 488938 733407 932544 977876 1466814 1955752 2200221 2933628 3911504 4400442 5867256 7823008 8800884 11734512 15646016 17601768 23469024 35203536 46938048 70407072 140814144