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133240133240400 = 24352195843865493
BaseRepresentation
bin11110010010111001100010…
…110011111100011001010000
3122110202122001222100002200110
4132102321202303330121100
5114431001243102143100
61151213401110121320
740031165465631414
oct3622714263743120
9573678058302613
10133240133240400
11394aa90671867a
1212b3a9b7050240
13594664bc68184
1424c8bdd308d44
151060d357b7250
hex792e62cfc650

133240133240400 has 120 divisors (see below), whose sum is σ = 449276379178720. Its totient is φ = 33660665233920.

The previous prime is 133240133240387. The next prime is 133240133240443. The reversal of 133240133240400 is 4042331042331.

It is a happy number.

133240133240400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2921909947 + ... + 2921955546.

Almost surely, 2133240133240400 is an apocalyptic number.

133240133240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133240133240400 is an abundant number, since it is smaller than the sum of its proper divisors (316036245938320).

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

133240133240400 is a wasteful number, since it uses less digits than its factorization.

133240133240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5843865533 (or 5843865522 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 133240133240400 its reverse (4042331042331), we get a palindrome (137282464282731).

The spelling of 133240133240400 in words is "one hundred thirty-three trillion, two hundred forty billion, one hundred thirty-three million, two hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 7600 11400 22800 5843865493 11687730986 17531596479 23375461972 29219327465 35063192958 46750923944 58438654930 70126385916 87657982395 93501847888 111033444367 116877309860 140252771832 146096637325 175315964790 222066888734 233754619720 280505543664 292193274650 333100333101 350631929580 438289911975 444133777468 467509239440 555167221835 584386549300 666200666202 701263859160 876579823950 888267554936 1110334443670 1168773098600 1332401332404 1402527718320 1665501665505 1753159647900 1776535109872 2220668887340 2337546197200 2664802664808 2775836109175 3331003331010 3506319295800 4441337774680 5329605329616 5551672218350 6662006662020 7012638591600 8327508327525 8882675549360 11103344436700 13324013324040 16655016655050 22206688873400 26648026648080 33310033310100 44413377746800 66620066620200 133240133240400