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1424342042032 = 247131493655229
BaseRepresentation
bin10100101110100001011…
…001101100010110110000
312001011110211211122122011
4110232201121230112300
5141314023030321112
63010200025052304
7204622344411430
oct24564131542660
95034424748564
101424342042032
114aa072a4a7a8
121b0069327094
13a4412a31140
144cd1d4402c0
15270b51b6aa7
hex14ba166c5b0

1424342042032 has 80 divisors (see below), whose sum is σ = 3398788088640. Its totient is φ = 563097701376.

The previous prime is 1424342042021. The next prime is 1424342042047. The reversal of 1424342042032 is 2302402434241.

It is a junction number, because it is equal to n+sod(n) for n = 1424342041985 and 1424342042003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1846194 + ... + 2501422.

It is an arithmetic number, because the mean of its divisors is an integer number (42484851108).

Almost surely, 21424342042032 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 1424342042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699394044320).

1424342042032 is an abundant number, since it is smaller than the sum of its proper divisors (1974446046608).

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

1424342042032 is a wasteful number, since it uses less digits than its factorization.

1424342042032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656750 (or 656744 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 1424342042032 its reverse (2302402434241), we get a palindrome (3726744476273).

The spelling of 1424342042032 in words is "one trillion, four hundred twenty-four billion, three hundred forty-two million, forty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 1493 2986 5972 10451 11944 19409 20902 23888 38818 41804 77636 83608 135863 155272 167216 271726 310544 543452 655229 1086904 1310458 2173808 2620916 4586603 5241832 8517977 9173206 10483664 17035954 18346412 34071908 36692824 59625839 68143816 73385648 119251678 136287632 238503356 477006712 954013424 978256897 1956513794 3913027588 6847798279 7826055176 12717339661 13695596558 15652110352 25434679322 27391193116 50869358644 54782386232 89021377627 101738717288 109564772464 178042755254 203477434576 356085510508 712171021016 1424342042032