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201388033140 = 22357273938347
BaseRepresentation
bin1011101110001110101…
…0011000010001110100
3201020211002010002000020
42323203222120101310
511244420314030030
6232303312245140
720356404015600
oct2734352302164
9636732102006
10201388033140
1178454327028
12330445407b0
1315cb5a6aa68
149a6659a500
15538a253510
hex2ee3a98474

201388033140 has 144 divisors (see below), whose sum is σ = 664935913152. Its totient is φ = 45400932864.

The previous prime is 201388033061. The next prime is 201388033279. The reversal of 201388033140 is 41330883102.

201388033140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254554 + ... + 683793.

It is an arithmetic number, because the mean of its divisors is an integer number (4617610508).

Almost surely, 2201388033140 is an apocalyptic number.

201388033140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201388033140 is an abundant number, since it is smaller than the sum of its proper divisors (463547880012).

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

201388033140 is a wasteful number, since it uses less digits than its factorization.

201388033140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938446 (or 938437 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 201388033140 in words is "two hundred one billion, three hundred eighty-eight million, thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 73 84 98 105 140 146 147 196 210 219 245 292 294 365 420 438 490 511 588 730 735 876 980 1022 1095 1460 1470 1533 2044 2190 2555 2940 3066 3577 4380 5110 6132 7154 7665 10220 10731 14308 15330 17885 21462 30660 35770 42924 53655 71540 107310 214620 938347 1876694 2815041 3753388 4691735 5630082 6568429 9383470 11260164 13136858 14075205 18766940 19705287 26273716 28150410 32842145 39410574 45979003 56300820 65684290 68499331 78821148 91958006 98526435 131368580 136998662 137937009 183916012 197052870 205497993 229895015 273997324 275874018 342496655 394105740 410995986 459790030 479495317 551748036 684993310 689685045 821991972 919580060 958990634 1027489965 1369986620 1379370090 1438485951 1917981268 2054979930 2397476585 2758740180 2876971902 3356467219 4109959860 4794953170 5753943804 6712934438 7192429755 9589906340 10069401657 13425868876 14384859510 16782336095 20138803314 28769719020 33564672190 40277606628 50347008285 67129344380 100694016570 201388033140