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142421613401344 = 282340276006569
BaseRepresentation
bin100000011000100000011101…
…101011001101010100000000
3200200021101002010002022101011
4200120200131223031110000
5122131413431012320334
61222523330322250304
741666423230416064
oct4030403553152400
9620241063068334
10142421613401344
114141a737928792
1213b8231a1b6994
1361613ba306584
142725358607aa4
15116eaa65c8564
hex81881dacd500

142421613401344 has 72 divisors (see below), whose sum is σ = 296720906005440. Its totient is φ = 68097758834688.

The previous prime is 142421613401341. The next prime is 142421613401351. The reversal of 142421613401344 is 443104316124241.

It is a junction number, because it is equal to n+sod(n) for n = 142421613401297 and 142421613401306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142421613401341) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 20707692 + ... + 26714260.

It is an arithmetic number, because the mean of its divisors is an integer number (4121123694520).

Almost surely, 2142421613401344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142421613401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148360453002720).

142421613401344 is an abundant number, since it is smaller than the sum of its proper divisors (154299292604096).

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

142421613401344 is an equidigital number, since it uses as much as digits as its factorization.

142421613401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010635 (or 6010621 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

Adding to 142421613401344 its reverse (443104316124241), we get a palindrome (585525929525585).

The spelling of 142421613401344 in words is "one hundred forty-two trillion, four hundred twenty-one billion, six hundred thirteen million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1472 2944 4027 5888 8054 16108 32216 64432 92621 128864 185242 257728 370484 515456 740968 1030912 1481936 2963872 5927744 6006569 11855488 12013138 23710976 24026276 48052552 96105104 138151087 192210208 276302174 384420416 552604348 768840832 1105208696 1537681664 2210417392 4420834784 8841669568 17683339136 24188453363 35366678272 48376906726 96753813452 193507626904 387015253808 556334427349 774030507616 1112668854698 1548061015232 2225337709396 3096122030464 4450675418792 6192244060928 8901350837584 17802701675168 35605403350336 71210806700672 142421613401344