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2114213332244 = 22131760114332777
BaseRepresentation
bin11110110001000000111…
…011110100010100010100
321111010011011101021121112
4132301000323310110110
5234114402103112434
64255131201034152
7305514114545006
oct36610073642424
97433134337545
102114213332244
117456a6343862
122a18b9925958
131244a5927480
147448547a376
1539edee39dce
hex1ec40ef4514

2114213332244 has 96 divisors (see below), whose sum is σ = 4230351601056. Its totient is φ = 915893452800.

The previous prime is 2114213332229. The next prime is 2114213332247. The reversal of 2114213332244 is 4422333124112.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 143171424400 + 1971041907844 = 378380^2 + 1403938^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2114213332244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114213332247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 761328584 + ... + 761331360.

It is an arithmetic number, because the mean of its divisors is an integer number (44066162511).

Almost surely, 22114213332244 is an apocalyptic number.

It is an amenable number.

2114213332244 is an abundant number, since it is smaller than the sum of its proper divisors (2116138268812).

2114213332244 is a wasteful number, since it uses less digits than its factorization.

2114213332244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845 (or 4843 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 2114213332244 its reverse (4422333124112), we get a palindrome (6536546456356).

The spelling of 2114213332244 in words is "two trillion, one hundred fourteen billion, two hundred thirteen million, three hundred thirty-two thousand, two hundred forty-four".

Divisors: 1 2 4 13 17 26 34 52 68 221 442 601 884 1202 1433 2404 2777 2866 5554 5732 7813 10217 11108 15626 18629 20434 24361 31252 36101 37258 40868 47209 48722 72202 74516 94418 97444 132821 144404 188836 265642 316693 531284 613717 633386 861233 1227434 1266772 1668977 1722466 2454868 3337954 3444932 3979441 6675908 7958882 11196029 14640961 15917764 21696701 22392058 28372609 29281922 43393402 44784116 51732733 56745218 58563844 67650497 86786804 103465466 113490436 135300994 190332493 206930932 270601988 368843917 380664986 737687834 761329972 879456461 1475375668 1758912922 2391644041 3517825844 4783288082 9566576164 31091372533 40657948697 62182745066 81315897394 124365490132 162631794788 528553333061 1057106666122 2114213332244