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40002066445000 = 2354114316914193
BaseRepresentation
bin10010001100001101101001…
…11101011111001011001000
312020122011022210022021221111
421012012310331133023020
520220343213002220000
6221024410131220104
711266024332404512
oct1106066475371310
9166564283267844
1040002066445000
1111822865724860
1245a0803147634
13194224273749a
149c4178b0cbb2
1549582b356cba
hex2461b4f5f2c8

40002066445000 has 160 divisors (see below), whose sum is σ = 104623085270880. Its totient is φ = 14207921280000.

The previous prime is 40002066444959. The next prime is 40002066445001. The reversal of 40002066445000 is 54466020004.

40002066445000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40002066445001) 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 39 ways as a sum of consecutive naturals, for example, 6092097 + ... + 10822096.

It is an arithmetic number, because the mean of its divisors is an integer number (653894282943).

Almost surely, 240002066445000 is an apocalyptic number.

40002066445000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40002066445000 is an abundant number, since it is smaller than the sum of its proper divisors (64621018825880).

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

40002066445000 is a wasteful number, since it uses less digits than its factorization.

40002066445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16914273 (or 16914254 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 40002066445000 in words is "forty trillion, two billion, sixty-six million, four hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 125 172 200 215 220 250 275 344 430 440 473 500 550 625 860 946 1000 1075 1100 1250 1375 1720 1892 2150 2200 2365 2500 2750 3784 4300 4730 5000 5375 5500 6875 8600 9460 10750 11000 11825 13750 18920 21500 23650 26875 27500 43000 47300 53750 55000 59125 94600 107500 118250 215000 236500 295625 473000 591250 1182500 2365000 16914193 33828386 67656772 84570965 135313544 169141930 186056123 338283860 372112246 422854825 676567720 727310299 744224492 845709650 930280615 1454620598 1488448984 1691419300 1860561230 2114274125 2909241196 3382838600 3636551495 3721122460 4228548250 4651403075 5818482392 7273102990 7442244920 8000413289 8457096500 9302806150 10571370625 14546205980 16000826578 16914193000 18182757475 18605612300 21142741250 23257015375 29092411960 32001653156 36365514950 37211224600 40002066445 42285482500 46514030750 64003306312 72731029900 80004132890 84570965000 90913787375 93028061500 116285076875 145462059800 160008265780 181827574750 186056123000 200010332225 232570153750 320016531560 363655149500 400020664450 454568936875 465140307500 727310299000 800041328900 909137873750 930280615000 1000051661125 1600082657800 1818275747500 2000103322250 3636551495000 4000206644500 5000258305625 8000413289000 10000516611250 20001033222500 40002066445000