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42022411104 = 253598638597
BaseRepresentation
bin100111001000101110…
…110001101101100000
311000110121120122222110
4213020232301231200
51142030214123404
631145502035320
73015232413042
oct471056615540
9130417518873
1042022411104
1116904612483
128189278b40
133c6907561b
14206901ba92
15115e324b89
hex9c8bb1b60

42022411104 has 96 divisors (see below), whose sum is σ = 112321520640. Its totient is φ = 13752499712.

The previous prime is 42022411037. The next prime is 42022411127. The reversal of 42022411104 is 40111422024.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 4883734 + ... + 4892330.

It is an arithmetic number, because the mean of its divisors is an integer number (1170015840).

Almost surely, 242022411104 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 42022411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56160760320).

42022411104 is an abundant number, since it is smaller than the sum of its proper divisors (70299109536).

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

42022411104 is a wasteful number, since it uses less digits than its factorization.

42022411104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9532 (or 9524 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 42022411104 its reverse (40111422024), we get a palindrome (82133833128).

The spelling of 42022411104 in words is "forty-two billion, twenty-two million, four hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 863 944 1416 1726 1888 2589 2832 3452 5178 5664 6904 8597 10356 13808 17194 20712 25791 27616 34388 41424 50917 51582 68776 82848 101834 103164 137552 152751 203668 206328 275104 305502 407336 412656 507223 611004 814672 825312 1014446 1222008 1521669 1629344 2028892 2444016 3043338 4057784 4888032 6086676 7419211 8115568 12173352 14838422 16231136 22257633 24346704 29676844 44515266 48693408 59353688 89030532 118707376 178061064 237414752 356122128 437733449 712244256 875466898 1313200347 1750933796 2626400694 3501867592 5252801388 7003735184 10505602776 14007470368 21011205552 42022411104