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45142330120000 = 26541995671147
BaseRepresentation
bin10100100001110100001001…
…00011010001011101000000
312220211120020121021101012121
422100322010203101131000
521404102443002320000
6240002033345134024
712336266010625021
oct1220720443213500
9186746217241177
1045142330120000
1113424833549383
125090a7702a314
131c25b98bb0639
14b20c86b1cc48
155343c79d0b1a
hex290e848d1740

45142330120000 has 140 divisors (see below), whose sum is σ = 112500831335200. Its totient is φ = 17966190528000.

The previous prime is 45142330119967. The next prime is 45142330120031. The reversal of 45142330120000 is 2103324154.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5124427 + ... + 10795573.

It is an arithmetic number, because the mean of its divisors is an integer number (803577366680).

Almost surely, 245142330120000 is an apocalyptic number.

45142330120000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45142330120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56250415667600).

45142330120000 is an abundant number, since it is smaller than the sum of its proper divisors (67358501215200).

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

45142330120000 is an equidigital number, since it uses as much as digits as its factorization.

45142330120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5671378 (or 5671353 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 45142330120000 its reverse (2103324154), we get a palindrome (45144433444154).

The spelling of 45142330120000 in words is "forty-five trillion, one hundred forty-two billion, three hundred thirty million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 199 200 250 320 398 400 500 625 796 800 995 1000 1250 1592 1600 1990 2000 2500 3184 3980 4000 4975 5000 6368 7960 8000 9950 10000 12736 15920 19900 20000 24875 31840 39800 40000 49750 63680 79600 99500 124375 159200 199000 248750 318400 398000 497500 796000 995000 1592000 1990000 3980000 5671147 7960000 11342294 22684588 28355735 45369176 56711470 90738352 113422940 141778675 181476704 226845880 283557350 362953408 453691760 567114700 708893375 907383520 1128558253 1134229400 1417786750 1814767040 2257116506 2268458800 2835573500 3544466875 4514233012 4536917600 5642791265 5671147000 7088933750 9028466024 9073835200 11285582530 11342294000 14177867500 18056932048 22571165060 22684588000 28213956325 28355735000 36113864096 45142330120 45369176000 56427912650 56711470000 72227728192 90284660240 112855825300 113422940000 141069781625 180569320480 225711650600 226845880000 282139563250 361138640960 451423301200 564279126500 705348908125 902846602400 1128558253000 1410697816250 1805693204800 2257116506000 2821395632500 4514233012000 5642791265000 9028466024000 11285582530000 22571165060000 45142330120000