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140708262321 = 381124212
BaseRepresentation
bin1000001100001011011…
…1011011000110110001
3111110012012102100000000
42003002313123012301
54301132303343241
6144350202220213
713110611332014
oct2030267330661
9443165370000
10140708262321
1154746167100
122332aab4669
1310365535023
146b4b71737b
1539d7ec6eb6
hex20c2ddb1b1

140708262321 has 81 divisors (see below), whose sum is σ = 232534750539. Its totient is φ = 85075174800.

The previous prime is 140708262311. The next prime is 140708262329. The reversal of 140708262321 is 123262807041.

It is a happy number.

The square root of 140708262321 is 375111.

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

140708262321 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 0 + 8 + 2 + 623 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 667653921 + 140040608400 = 25839^2 + 374220^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 140708262321 - 219 = 140707738033 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (140708262329) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 334223691 + ... + 334224111.

Almost surely, 2140708262321 is an apocalyptic number.

140708262321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

140708262321 is the 375111-st square number.

140708262321 is the 187556-th centered octagonal number.

It is an amenable number.

140708262321 is a deficient number, since it is larger than the sum of its proper divisors (91826488218).

140708262321 is an frugal number, since it uses more digits than its factorization.

140708262321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 140708262321 by its sum of digits (36), we get a square (5065497443556 = 22506662).

The spelling of 140708262321 in words is "one hundred forty billion, seven hundred eight million, two hundred sixty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 421 729 891 1089 1263 2187 2673 3267 3789 4631 6561 8019 9801 11367 13893 24057 29403 34101 41679 50941 72171 88209 102303 125037 152823 177241 264627 306909 375111 458469 531723 793881 920727 1125333 1375407 1595169 1949651 2762181 3375999 4126221 4785507 5848953 10127997 12378663 14356521 17546859 21446161 30383991 37135989 43069563 52640577 64338483 111407967 129208689 157921731 193015449 334223901 387626067 473765193 579046347 1162878201 1421295579 1737139041 4263886737 5211417123 12791660211 15634251369 46902754107 140708262321