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7243753140 = 22325133095621
BaseRepresentation
bin1101011111100001…
…01110011010110100
3200200211101210020100
412233300232122310
5104313400100030
63154442434100
7344335612551
oct65760563264
920624353210
107243753140
113087a00a48
1214a1b02930
138b596c180
144ca08ba28
152c5e17360
hex1afc2e6b4

7243753140 has 72 divisors (see below), whose sum is σ = 23662934568. Its totient is φ = 1783077120.

The previous prime is 7243753133. The next prime is 7243753177. The reversal of 7243753140 is 413573427.

It can be written as a sum of positive squares in 4 ways, for example, as 568536336 + 6675216804 = 23844^2 + 81702^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7243753095 and 7243753104.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1545471 + ... + 1550150.

It is an arithmetic number, because the mean of its divisors is an integer number (328651869).

Almost surely, 27243753140 is an apocalyptic number.

It is an amenable number.

7243753140 is an abundant number, since it is smaller than the sum of its proper divisors (16419181428).

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

7243753140 is a wasteful number, since it uses less digits than its factorization.

7243753140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095649 (or 3095644 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 7243753140 is about 85110.2410994118. The cubic root of 7243753140 is about 1934.8822795599.

The spelling of 7243753140 in words is "seven billion, two hundred forty-three million, seven hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 3095621 6191242 9286863 12382484 15478105 18573726 27860589 30956210 37147452 40243073 46434315 55721178 61912420 80486146 92868630 111442356 120729219 139302945 160972292 185737260 201215365 241458438 278605890 362187657 402430730 482916876 557211780 603646095 724375314 804861460 1207292190 1448750628 1810938285 2414584380 3621876570 7243753140