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140024212144 = 2419225439533
BaseRepresentation
bin1000001001101000010…
…1111110101010110000
3111101102112020222120021
42002122011332222300
54243232144242034
6144154244453224
713054634110435
oct2023205765260
9441375228507
10140024212144
1154425021083
12231799aa214
13102868bb6cb
146ac4931b8c
153997e056b4
hex209a17eab0

140024212144 has 60 divisors (see below), whose sum is σ = 286469852256. Its totient is φ = 66294221184.

The previous prime is 140024212127. The next prime is 140024212157. The reversal of 140024212144 is 441212420041.

It is a happy 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 11 ways as a sum of consecutive naturals, for example, 14683602 + ... + 14693134.

Almost surely, 2140024212144 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 140024212144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143234926128).

140024212144 is an abundant number, since it is smaller than the sum of its proper divisors (146445640112).

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

140024212144 is a wasteful number, since it uses less digits than its factorization.

140024212144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12122 (or 12097 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 140024212144 its reverse (441212420041), we get a palindrome (581236632185).

The spelling of 140024212144 in words is "one hundred forty billion, twenty-four million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2543 2888 5086 5776 9533 10172 19066 20344 38132 40688 48317 76264 96634 152528 181127 193268 362254 386536 724508 773072 918023 1449016 1836046 2898032 3441413 3672092 6882826 7344184 13765652 14688368 24242419 27531304 48484838 55062608 96969676 193939352 387878704 460605961 921211922 1842423844 3684847688 7369695376 8751513259 17503026518 35006053036 70012106072 140024212144