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140321204144 = 24119716375021
BaseRepresentation
bin1000001010101111001…
…0111010011110110000
3111102012020002201222222
42002223302322132300
54244334212013034
6144243534220212
713065201361352
oct2025362723660
9442166081888
10140321204144
1154567730610
1223241354668
13103032a5314
146b121610d2
1539b401d12e
hex20abcba7b0

140321204144 has 80 divisors (see below), whose sum is σ = 299888368416. Its totient is φ = 63073689600.

The previous prime is 140321204099. The next prime is 140321204171. The reversal of 140321204144 is 441402123041.

140321204144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27944354 + ... + 27949374.

Almost surely, 2140321204144 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 140321204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149944184208).

140321204144 is an abundant number, since it is smaller than the sum of its proper divisors (159567164272).

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

140321204144 is a wasteful number, since it uses less digits than its factorization.

140321204144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6774 (or 6768 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 140321204144 its reverse (441402123041), we get a palindrome (581723327185).

The spelling of 140321204144 in words is "one hundred forty billion, three hundred twenty-one million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 97 176 194 388 776 1067 1552 1637 2134 3274 4268 5021 6548 8536 10042 13096 17072 18007 20084 26192 36014 40168 55231 72028 80336 110462 144056 158789 220924 288112 317578 441848 487037 635156 883696 974074 1270312 1746679 1948148 2540624 3493358 3896296 5357407 6986716 7792592 8219377 10714814 13973432 16438754 21429628 27946864 32877508 42859256 65755016 85718512 90413147 131510032 180826294 361652588 723305176 797279569 1446610352 1594559138 3189118276 6378236552 8770075259 12756473104 17540150518 35080301036 70160602072 140321204144