Search a number
-
+
140882013340056 = 23336132173323693
BaseRepresentation
bin100000000010000110100110…
…010111000100000110011000
3200110211012002201221121221000
4200002012212113010012120
5121431202330403340211
61215344145313545000
741450250424004562
oct4002064627040630
9613735081847830
10140882013340056
11409867a982021a
1213973a65275160
13607c16995a151
1426b0a2395a332
1511449e78e7656
hex8021a65c4198

140882013340056 has 128 divisors (see below), whose sum is σ = 397878079262400. Its totient is φ = 46176451799040.

The previous prime is 140882013340037. The next prime is 140882013340091. The reversal of 140882013340056 is 650043310288041.

140882013340056 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 8 + 201 + 33 + 400 + 5 + 6 = 666.

140882013340056 is digitally balanced in base 3, 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 = 140882013339993 and 140882013340020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40725346 + ... + 44049038.

Almost surely, 2140882013340056 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 140882013340056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198939039631200).

140882013340056 is an abundant number, since it is smaller than the sum of its proper divisors (256996065922344).

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

140882013340056 is a wasteful number, since it uses less digits than its factorization.

140882013340056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326986 (or 3326976 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 140882013340056 in words is "one hundred forty trillion, eight hundred eighty-two billion, thirteen million, three hundred forty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1647 2196 3217 3294 4392 6434 6588 9651 12868 13176 19302 25736 28953 38604 57906 77208 86859 115812 173718 196237 231624 347436 392474 588711 694872 784948 1177422 1569896 1766133 2354844 3323693 3532266 4709688 5298399 6647386 7064532 9971079 10596798 13294772 14129064 19942158 21193596 26589544 29913237 39884316 42387192 59826474 79768632 89739711 119652948 179479422 202745273 239305896 358958844 405490546 608235819 717917688 810981092 1216471638 1621962184 1824707457 2432943276 3649414914 4865886552 5474122371 7298829828 10692320381 10948244742 14597659656 21384640762 21896489484 32076961143 42769281524 43792978968 64153922286 85538563048 96230883429 128307844572 192461766858 256615689144 288692650287 384923533716 577385300574 652231543241 769847067432 1154770601148 1304463086482 1956694629723 2309541202296 2608926172964 3913389259446 5217852345928 5870083889169 7826778518892 11740167778338 15653557037784 17610251667507 23480335556676 35220503335014 46960671113352 70441006670028 140882013340056