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140574795168 = 25323113563417
BaseRepresentation
bin1000001011101011101…
…0010010010110100000
3111102211220021111111010
42002322322102112200
54300344121421133
6144325033420520
713104401020653
oct2027272222640
9442756244433
10140574795168
1154687897275
12232b226a740
13103439a4392
146b37ad389a
1539cb411263
hex20bae925a0

140574795168 has 96 divisors (see below), whose sum is σ = 388460935296. Its totient is φ = 44424224768.

The previous prime is 140574795167. The next prime is 140574795253. The reversal of 140574795168 is 861597475041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1405747951683 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (140574795167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32205 + ... + 531212.

It is an arithmetic number, because the mean of its divisors is an integer number (4046468076).

Almost surely, 2140574795168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140574795168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194230467648).

140574795168 is an abundant number, since it is smaller than the sum of its proper divisors (247886140128).

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

140574795168 is a wasteful number, since it uses less digits than its factorization.

140574795168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563566 (or 563558 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 57.

The spelling of 140574795168 in words is "one hundred forty billion, five hundred seventy-four million, seven hundred ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 113 138 184 226 276 339 368 452 552 678 736 904 1104 1356 1808 2208 2599 2712 3616 5198 5424 7797 10396 10848 15594 20792 31188 41584 62376 83168 124752 249504 563417 1126834 1690251 2253668 3380502 4507336 6761004 9014672 12958591 13522008 18029344 25917182 27044016 38875773 51834364 54088032 63666121 77751546 103668728 127332242 155503092 190998363 207337456 254664484 311006184 381996726 414674912 509328968 622012368 763993452 1018657936 1244024736 1464320783 1527986904 2037315872 2928641566 3055973808 4392962349 5857283132 6111947616 8785924698 11714566264 17571849396 23429132528 35143698792 46858265056 70287397584 140574795168