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4532336113140 = 22325112289058643
BaseRepresentation
bin100000111110100010001…
…0010001011010111110100
3121001021202022000011022200
41001331010102023113310
51043224211021110030
613350043152224500
7645310341212013
oct101750422132764
917037668004280
104532336113140
11149817563a510
1261249223b130
1326b5222b9064
1411951ad5aa7a
157cd6a86dd60
hex41f4448b5f4

4532336113140 has 72 divisors (see below), whose sum is σ = 14997912235488. Its totient is φ = 1098748148160.

The previous prime is 4532336113049. The next prime is 4532336113141. The reversal of 4532336113140 is 413116332354.

4532336113140 is a `hidden beast` number, since 4 + 5 + 3 + 2 + 3 + 3 + 611 + 31 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4532336113095 and 4532336113104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4532336113141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1144527342 + ... + 1144531301.

It is an arithmetic number, because the mean of its divisors is an integer number (208304336604).

Almost surely, 24532336113140 is an apocalyptic number.

It is an amenable number.

4532336113140 is an abundant number, since it is smaller than the sum of its proper divisors (10465576122348).

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

4532336113140 is a wasteful number, since it uses less digits than its factorization.

4532336113140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289058669 (or 2289058664 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 4532336113140 in words is "four trillion, five hundred thirty-two billion, three hundred thirty-six million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 2289058643 4578117286 6867175929 9156234572 11445293215 13734351858 20601527787 22890586430 25179645073 27468703716 34335879645 41203055574 45781172860 50359290146 68671759290 75538935219 82406111148 100718580292 103007638935 125898225365 137343518580 151077870438 206015277870 226616805657 251796450730 302155740876 377694676095 412030555740 453233611314 503592901460 755389352190 906467222628 1133084028285 1510778704380 2266168056570 4532336113140