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1342645084260 = 2232537937215153
BaseRepresentation
bin10011100010011011111…
…000100010000001100100
311202100121020121012012100
4103202123320202001210
5133444214120144020
62504445211452100
7166000665625164
oct23423370420144
94670536535170
101342645084260
1147845a169187
12198269157030
13997c31766cc
1448dad1725a4
1524dd2c45a90
hex1389be22064

1342645084260 has 144 divisors (see below), whose sum is σ = 4187246250096. Its totient is φ = 347988566016.

The previous prime is 1342645084213. The next prime is 1342645084279. The reversal of 1342645084260 is 624805462431.

1342645084260 is a `hidden beast` number, since 1 + 3 + 4 + 264 + 50 + 84 + 260 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 59422837824 + 1283222246436 = 243768^2 + 1132794^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 6132844 + ... + 6347996.

It is an arithmetic number, because the mean of its divisors is an integer number (29078098959).

Almost surely, 21342645084260 is an apocalyptic number.

1342645084260 is a gapful number since it is divisible by the number (10) 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 1342645084260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093623125048).

1342645084260 is an abundant number, since it is smaller than the sum of its proper divisors (2844601165836).

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

1342645084260 is a wasteful number, since it uses less digits than its factorization.

1342645084260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216142 (or 216137 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 1342645084260 in words is "one trillion, three hundred forty-two billion, six hundred forty-five million, eighty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 937 1110 1332 1665 1874 2220 2811 3330 3748 4685 5622 6660 8433 9370 11244 14055 16866 18740 28110 33732 34669 42165 56220 69338 84330 104007 138676 168660 173345 208014 215153 312021 346690 416028 430306 520035 624042 645459 693380 860612 1040070 1075765 1248084 1290918 1560105 1936377 2080140 2151530 2581836 3120210 3227295 3872754 4303060 6240420 6454590 7745508 7960661 9681885 12909180 15921322 19363770 23881983 31842644 38727540 39803305 47763966 71645949 79606610 95527932 119409915 143291898 159213220 201598361 238819830 286583796 358229745 403196722 477639660 604795083 716459490 806393444 1007991805 1209590166 1432918980 1814385249 2015983610 2419180332 3023975415 3628770498 4031967220 6047950830 7257540996 7459139357 9071926245 12095901660 14918278714 18143852490 22377418071 29836557428 36287704980 37295696785 44754836142 67132254213 74591393570 89509672284 111887090355 134264508426 149182787140 223774180710 268529016852 335661271065 447548361420 671322542130 1342645084260