Search a number
-
+
1362061262142 = 2327731071383947
BaseRepresentation
bin10011110100100001001…
…011010111110100111110
311211012201101120020001200
4103310201023113310332
5134304000140342032
62521420003520330
7200256101462610
oct23644113276476
94735641506050
101362061262142
11485713089a89
1219bb876890a6
139b5988cb269
1449cd1ac2db0
152566c5dc47c
hex13d212d7d3e

1362061262142 has 96 divisors (see below), whose sum is σ = 3450879873792. Its totient is φ = 380241931392.

The previous prime is 1362061262137. The next prime is 1362061262161. The reversal of 1362061262142 is 2412621602631.

1362061262142 is a `hidden beast` number, since 1 + 3 + 6 + 20 + 6 + 1 + 2 + 621 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1362061262097 and 1362061262106.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 292213 + ... + 1676159.

It is an arithmetic number, because the mean of its divisors is an integer number (35946665352).

Almost surely, 21362061262142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1362061262142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725439936896).

1362061262142 is an abundant number, since it is smaller than the sum of its proper divisors (2088818611650).

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

1362061262142 is a wasteful number, since it uses less digits than its factorization.

1362061262142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384142 (or 1384139 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 1362061262142 its reverse (2412621602631), we get a palindrome (3774682864773).

The spelling of 1362061262142 in words is "one trillion, three hundred sixty-two billion, sixty-one million, two hundred sixty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 107 126 146 214 219 321 438 511 642 657 749 963 1022 1314 1498 1533 1926 2247 3066 4494 4599 6741 7811 9198 13482 15622 23433 46866 54677 70299 109354 140598 164031 328062 492093 984186 1383947 2767894 4151841 8303682 9687629 12455523 19375258 24911046 29062887 58125774 87188661 101028131 148082329 174377322 202056262 296164658 303084393 444246987 606168786 707196917 888493974 909253179 1036576303 1332740961 1414393834 1818506358 2073152606 2121590751 2665481922 3109728909 4243181502 6219457818 6364772253 9329186727 10810010017 12729544506 18658373454 21620020034 32430030051 64860060102 75670070119 97290090153 151340140238 194580180306 227010210357 454020420714 681030631071 1362061262142