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140315652336 = 24337103176631
BaseRepresentation
bin1000001010101101110…
…1101111000011110000
3111102011211122200100110
42002223131233003300
54244331301333321
6144243215221320
713065103236336
oct2025335570360
9442154580313
10140315652336
1154564589442
122323b517840
13103020b0322
146b11517b56
1539b37c3176
hex20ab76f0f0

140315652336 has 80 divisors (see below), whose sum is σ = 372644863488. Its totient is φ = 45463046400.

The previous prime is 140315652319. The next prime is 140315652371. The reversal of 140315652336 is 633256513041.

140315652336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 140315652294 and 140315652303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1792741 + ... + 1869371.

Almost surely, 2140315652336 is an apocalyptic number.

140315652336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140315652336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186322431744).

140315652336 is an abundant number, since it is smaller than the sum of its proper divisors (232329211152).

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

140315652336 is a wasteful number, since it uses less digits than its factorization.

140315652336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77710 (or 77704 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 140315652336 in words is "one hundred forty billion, three hundred fifteen million, six hundred fifty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1031 1776 2062 3093 4124 6186 8248 12372 16496 24744 38147 49488 76294 76631 114441 152588 153262 228882 229893 305176 306524 457764 459786 610352 613048 915528 919572 1226096 1831056 1839144 2835347 3678288 5670694 8506041 11341388 17012082 22682776 34024164 45365552 68048328 79006561 136096656 158013122 237019683 316026244 474039366 632052488 948078732 1264104976 1896157464 2923242757 3792314928 5846485514 8769728271 11692971028 17539456542 23385942056 35078913084 46771884112 70157826168 140315652336