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140022041232033 = 32314759917826559
BaseRepresentation
bin11111110101100101101100…
…000001110100001010100001
3200100202222100210201010210100
4133311211230001310022201
5121323110120023411113
61213445123203053013
741331154466463552
oct3765455401641241
9610688323633710
10140022041232033
11406850179aa094
1213855262371169
136019038c6ac2c
142681162722329
15112c464561d73
hex7f596c0742a1

140022041232033 has 48 divisors (see below), whose sum is σ = 213576450048000. Its totient is φ = 88267132343520.

The previous prime is 140022041231993. The next prime is 140022041232037. The reversal of 140022041232033 is 330232140220041.

140022041232033 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 220 + 412 + 3 + 20 + 3 + 3 = 666.

It is not a de Polignac number, because 140022041232033 - 28 = 140022041231777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 140022041231988 and 140022041232006.

It is not an unprimeable number, because it can be changed into a prime (140022041232037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1058593 + ... + 16767966.

It is an arithmetic number, because the mean of its divisors is an integer number (4449509376000).

Almost surely, 2140022041232033 is an apocalyptic number.

It is an amenable number.

140022041232033 is a deficient number, since it is larger than the sum of its proper divisors (73554408815967).

140022041232033 is a wasteful number, since it uses less digits than its factorization.

140022041232033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17827242 (or 17827239 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 140022041232033 its reverse (330232140220041), we get a palindrome (470254181452074).

The spelling of 140022041232033 in words is "one hundred forty trillion, twenty-two billion, forty-one million, two hundred thirty-two thousand, thirty-three".

Divisors: 1 3 9 31 47 93 141 279 423 599 1457 1797 4371 5391 13113 18569 28153 55707 84459 167121 253377 872743 2618229 7854687 17826559 53479677 160439031 552623329 837848273 1657869987 2513544819 4973609961 7540634457 10678108841 25973296463 32034326523 77919889389 96102979569 233759668167 331021374071 501871115527 993064122213 1505613346581 2979192366639 4516840039743 15558004581337 46674013744011 140022041232033