Search a number
-
+
140517020736 = 2632156192
BaseRepresentation
bin1000001011011101110…
…1111001010001000000
3111102200212120020212100
42002313131321101000
54300234324130421
6144315211230400
713103066653251
oct2026735712100
9442625506770
10140517020736
1154658216504
1223296a48400
1310334a26421
146b30174b28
1539c62ecc26
hex20b7779440

140517020736 has 63 divisors (see below), whose sum is σ = 402792457431. Its totient is φ = 46836008064.

The previous prime is 140517020723. The next prime is 140517020767. The reversal of 140517020736 is 637020715041.

It is a happy number.

The square root of 140517020736 is 374856.

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

140517020736 is a `hidden beast` number, since 1 + 405 + 17 + 0 + 207 + 36 = 666.

140517020736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 140517020736.

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 8 ways as a sum of consecutive naturals, for example, 8988735 + ... + 9004353.

Almost surely, 2140517020736 is an apocalyptic number.

140517020736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

140517020736 is the 374856-th square number.

It is an amenable number.

140517020736 is an abundant number, since it is smaller than the sum of its proper divisors (262275436695).

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

140517020736 is an frugal number, since it uses more digits than its factorization.

140517020736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31256 (or 15624 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Multiplying 140517020736 by its sum of digits (36), we get a square (5058612746496 = 22491362).

140517020736 divided by its sum of digits (36) gives a square (3903250576 = 624762).

Adding to 140517020736 its reverse (637020715041), we get a palindrome (777537735777).

The spelling of 140517020736 in words is "one hundred forty billion, five hundred seventeen million, twenty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 15619 31238 46857 62476 93714 124952 140571 187428 249904 281142 374856 499808 562284 749712 999616 1124568 1499424 2249136 2998848 4498272 8996544 243953161 487906322 731859483 975812644 1463718966 1951625288 2195578449 2927437932 3903250576 4391156898 5854875864 7806501152 8782313796 11709751728 15613002304 17564627592 23419503456 35129255184 46839006912 70258510368 140517020736