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31140671800 = 2352731717527
BaseRepresentation
bin11101000000001000…
…001111000100111000
32222101020200000220211
4131000020033010320
51002234002444200
622150020400504
72151460225420
oct350010170470
988336600824
1031140671800
11122301086a7
126050b46134
132c237b6324
141715b33480
15c23d45aba
hex74020f138

31140671800 has 96 divisors (see below), whose sum is σ = 85414533120. Its totient is φ = 10332374400.

The previous prime is 31140671747. The next prime is 31140671803. The reversal of 31140671800 is 817604113.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31140671803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315364 + ... + 402163.

It is an arithmetic number, because the mean of its divisors is an integer number (889734720).

Almost surely, 231140671800 is an apocalyptic number.

It is an amenable number.

31140671800 is an abundant number, since it is smaller than the sum of its proper divisors (54273861320).

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

31140671800 is a wasteful number, since it uses less digits than its factorization.

31140671800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717581 (or 717572 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 31140671800 in words is "thirty-one billion, one hundred forty million, six hundred seventy-one thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 140 155 175 200 217 248 280 310 350 434 620 700 775 868 1085 1240 1400 1550 1736 2170 3100 4340 5425 6200 8680 10850 21700 43400 717527 1435054 2870108 3587635 5022689 5740216 7175270 10045378 14350540 17938175 20090756 22243337 25113445 28701080 35876350 40181512 44486674 50226890 71752700 88973348 100453780 111216685 125567225 143505400 155703359 177946696 200907560 222433370 251134450 311406718 444866740 502268900 556083425 622813436 778516795 889733480 1004537800 1112166850 1245626872 1557033590 2224333700 3114067180 3892583975 4448667400 6228134360 7785167950 15570335900 31140671800