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2142411012 = 223376146457
BaseRepresentation
bin111111110110010…
…1001100100000100
312112022022202102000
41333230221210010
513341424123022
6552331145300
7104043123150
oct17754514404
95468282360
102142411012
119aa376115
124b95a5230
13281b19c31
1416476a060
15c81436ac
hex7fb29904

2142411012 has 96 divisors (see below), whose sum is σ = 6452087040. Its totient is φ = 602069760.

The previous prime is 2142410999. The next prime is 2142411049. The reversal of 2142411012 is 2101142412.

2142411012 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22888 + ... + 69344.

It is an arithmetic number, because the mean of its divisors is an integer number (67209240).

Almost surely, 22142411012 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 2142411012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226043520).

2142411012 is an abundant number, since it is smaller than the sum of its proper divisors (4309676028).

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

2142411012 is a wasteful number, since it uses less digits than its factorization.

2142411012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46538 (or 46530 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2142411012 is about 46286.1859737870. The cubic root of 2142411012 is about 1289.1425128860.

Adding to 2142411012 its reverse (2101142412), we get a palindrome (4243553424).

The spelling of 2142411012 in words is "two billion, one hundred forty-two million, four hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 84 108 122 126 183 189 244 252 366 378 427 549 732 756 854 1098 1281 1647 1708 2196 2562 3294 3843 5124 6588 7686 11529 15372 23058 46116 46457 92914 139371 185828 278742 325199 418113 557484 650398 836226 975597 1254339 1300796 1672452 1951194 2508678 2833877 2926791 3902388 5017356 5667754 5853582 8501631 8780373 11335508 11707164 17003262 17560746 19837139 25504893 34006524 35121492 39674278 51009786 59511417 76514679 79348556 102019572 119022834 153029358 178534251 238045668 306058716 357068502 535602753 714137004 1071205506 2142411012