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4012211140 = 2257217240829
BaseRepresentation
bin1110111100100101…
…0111101111000100
3101100121200102222121
43233021113233010
531204111224030
61502043335324
7201266142400
oct35711275704
911317612877
104012211140
111779874683
1293b821544
134bc308842
142a0c12100
1518738847a
hexef257bc4

4012211140 has 72 divisors (see below), whose sum is σ = 10377846360. Its totient is φ = 1294691328.

The previous prime is 4012211129. The next prime is 4012211167. The reversal of 4012211140 is 411122104.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2093245504 + 1918965636 = 45752^2 + 43806^2 .

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 23 ways as a sum of consecutive naturals, for example, 103755 + ... + 137074.

It is an arithmetic number, because the mean of its divisors is an integer number (144136755).

Almost surely, 24012211140 is an apocalyptic number.

It is an amenable number.

4012211140 is an abundant number, since it is smaller than the sum of its proper divisors (6365635220).

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

4012211140 is a wasteful number, since it uses less digits than its factorization.

4012211140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240869 (or 240860 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 4012211140 is about 63342.0171765946. The cubic root of 4012211140 is about 1589.0147423707.

Adding to 4012211140 its reverse (411122104), we get a palindrome (4423333244).

The spelling of 4012211140 in words is "four billion, twelve million, two hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 16660 240829 481658 963316 1204145 1685803 2408290 3371606 4094093 4816580 6743212 8188186 8429015 11800621 16376372 16858030 20470465 23601242 28658651 33716060 40940930 47202484 57317302 59003105 81881860 114634604 118006210 143293255 200610557 236012420 286586510 401221114 573173020 802442228 1003052785 2006105570 4012211140