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140214113144 = 2377180943591
BaseRepresentation
bin1000001010010101101…
…0011001001101111000
3111101220202120221202122
42002211122121031320
54244124303110034
6144225151020412
713062431203610
oct2024532311570
9441822527678
10140214113144
1154512236556
122321150a708
13102b704b071
146b01c45a40
1539a991762e
hex20a5699378

140214113144 has 64 divisors (see below), whose sum is σ = 305074252800. Its totient is φ = 59170809600.

The previous prime is 140214113077. The next prime is 140214113191. The reversal of 140214113144 is 441311412041.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3194789 + ... + 3238379.

It is an arithmetic number, because the mean of its divisors is an integer number (4766785200).

Almost surely, 2140214113144 is an apocalyptic number.

140214113144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140214113144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152537126400).

140214113144 is an abundant number, since it is smaller than the sum of its proper divisors (164860139656).

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

140214113144 is a wasteful number, since it uses less digits than its factorization.

140214113144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44484 (or 44480 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 140214113144 its reverse (441311412041), we get a palindrome (581525525185).

The spelling of 140214113144 in words is "one hundred forty billion, two hundred fourteen million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 71 142 284 497 568 809 994 1618 1988 3236 3976 5663 6472 11326 22652 43591 45304 57439 87182 114878 174364 229756 305137 348728 402073 459512 610274 804146 1220548 1608292 2441096 3094961 3216584 6189922 12379844 21664727 24759688 35265119 43329454 70530238 86658908 141060476 173317816 246855833 282120952 493711666 987423332 1974846664 2503823449 5007646898 10015293796 17526764143 20030587592 35053528286 70107056572 140214113144