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140508024336 = 2432312372
BaseRepresentation
bin1000001011011011101…
…1100100111000010000
3111102200020122012010100
42002312323210320100
54300230023234321
6144314250332400
713102630333551
oct2026673447020
9442606565110
10140508024336
1154653131369
1223293a2a100
1310332bc6604
146b2ccb2328
1539c5622326
hex20b6ee4e10

140508024336 has 45 divisors (see below), whose sum is σ = 393239907021. Its totient is φ = 46834508736.

The previous prime is 140508024331. The next prime is 140508024413. The reversal of 140508024336 is 633420805041.

The square root of 140508024336 is 374844.

It is a perfect power (a square), and thus also a powerful number.

140508024336 is a `hidden beast` number, since 1 + 405 + 0 + 8 + 0 + 243 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123749168400 + 16758855936 = 351780^2 + 129456^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 140508024336.

It is not an unprimeable number, because it can be changed into a prime (140508024331) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 4482510 + ... + 4513746.

Almost surely, 2140508024336 is an apocalyptic number.

140508024336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

140508024336 is the 374844-th square number.

It is an amenable number.

140508024336 is an abundant number, since it is smaller than the sum of its proper divisors (252731882685).

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

140508024336 is an frugal number, since it uses more digits than its factorization.

140508024336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62488 (or 31242 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 140508024336 by its sum of digits (36), we get a square (5058288876096 = 22490642).

140508024336 divided by its sum of digits (36) gives a square (3903000676 = 624742).

Adding to 140508024336 its reverse (633420805041), we get a palindrome (773928829377).

The spelling of 140508024336 in words is "one hundred forty billion, five hundred eight million, twenty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 31237 62474 93711 124948 187422 249896 281133 374844 499792 562266 749688 1124532 1499376 2249064 4498128 975750169 1951500338 2927250507 3903000676 5854501014 7806001352 8781751521 11709002028 15612002704 17563503042 23418004056 35127006084 46836008112 70254012168 140508024336