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140811187899321 = 321012391632
BaseRepresentation
bin100000000001000100101000…
…110101011100101110111001
3200110120102021210101110020100
4200001010220311130232321
5121424022303100234241
61215251433334550013
741442162334462302
oct4001045065345671
9613512253343210
10140811187899321
11409597646a1325
1213962199b08309
1360755904c2c34
1426ab4254757a9
151142c4ead69b6
hex801128d5cbb9

140811187899321 has 27 divisors (see below), whose sum is σ = 205432923658287. Its totient is φ = 92942305203600.

The previous prime is 140811187899311. The next prime is 140811187899379. The reversal of 140811187899321 is 123998781118041.

The square root of 140811187899321 is 11866389.

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

140811187899321 is a `hidden beast` number, since 1 + 40 + 8 + 1 + 1 + 187 + 8 + 99 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 135289721850921 + 5521466048400 = 11631411^2 + 2349780^2 .

It is not a de Polignac number, because 140811187899321 - 239 = 140261432085433 is a prime.

It is a super-2 number, since 2×1408111878993212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140811187899311) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3595496286 + ... + 3595535448.

Almost surely, 2140811187899321 is an apocalyptic number.

140811187899321 is the 11866389-th square number.

140811187899321 is the 5933195-th centered octagonal number.

It is an amenable number.

140811187899321 is a deficient number, since it is larger than the sum of its proper divisors (64621735758966).

140811187899321 is an frugal number, since it uses more digits than its factorization.

140811187899321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78534 (or 39267 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 63.

The spelling of 140811187899321 in words is "one hundred forty trillion, eight hundred eleven billion, one hundred eighty-seven million, eight hundred ninety-nine thousand, three hundred twenty-one".

Divisors: 1 3 9 101 303 909 10201 30603 39163 91809 117489 352467 3955463 11866389 35599167 399501763 1198505289 1533740569 3595515867 4601221707 13803665121 154907797469 464723392407 1394170177221 15645687544369 46937062633107 140811187899321