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140682005776 = 2413272132
BaseRepresentation
bin1000001100000101001…
…1010000110100010000
3111110010101000100210101
42003001103100310100
54301104043141101
6144343423342144
713110142214224
oct2030123206420
9443111010711
10140682005776
1154732363184
1223322151954
131035cc70c00
146b48040784
1539d5a3c401
hex20c14d0d10

140682005776 has 45 divisors (see below), whose sum is σ = 295192189359. Its totient is φ = 64921154688.

The previous prime is 140682005749. The next prime is 140682005869. The reversal of 140682005776 is 677500286041.

It is a happy number.

The square root of 140682005776 is 375076.

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

It can be written as a sum of positive squares in 4 ways, for example, as 146991376 + 140535014400 = 12124^2 + 374880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19500346 + ... + 19507558.

Almost surely, 2140682005776 is an apocalyptic number.

140682005776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

140682005776 is the 375076-th square number.

It is an amenable number.

140682005776 is an abundant number, since it is smaller than the sum of its proper divisors (154510183583).

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

140682005776 is an frugal number, since it uses more digits than its factorization.

140682005776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14460 (or 7228 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 140682005776 in words is "one hundred forty billion, six hundred eighty-two million, five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 7213 14426 28852 57704 93769 115408 187538 375076 750152 1218997 1500304 2437994 4875988 9751976 19503952 52027369 104054738 208109476 416218952 676355797 832437904 1352711594 2705423188 5410846376 8792625361 10821692752 17585250722 35170501444 70341002888 140682005776