Search a number
-
+
214344311104 = 267311887657
BaseRepresentation
bin1100011110011111101…
…0101010000101000000
3202111021000122012010001
43013213322222011000
512002434120423404
6242245102245344
721325436404000
oct3074772520500
9674230565101
10214344311104
11829a2859470
123565b586854
131729c071a21
14a5351c4000
15589791a7a4
hex31e7eaa140

214344311104 has 112 divisors (see below), whose sum is σ = 541116316800. Its totient is φ = 83510676480.

The previous prime is 214344311081. The next prime is 214344311117. The reversal of 214344311104 is 401113443412.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202357 + ... + 685300.

Almost surely, 2214344311104 is an apocalyptic number.

It is an amenable number.

214344311104 is an abundant number, since it is smaller than the sum of its proper divisors (326772005696).

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

214344311104 is an equidigital number, since it uses as much as digits as its factorization.

214344311104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887701 (or 887677 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 214344311104 its reverse (401113443412), we get a palindrome (615457754516).

The spelling of 214344311104 in words is "two hundred fourteen billion, three hundred forty-four million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 154 176 196 224 308 343 352 392 448 539 616 686 704 784 1078 1232 1372 1568 2156 2464 2744 3136 3773 4312 4928 5488 7546 8624 10976 15092 17248 21952 30184 34496 60368 120736 241472 887657 1775314 3550628 6213599 7101256 9764227 12427198 14202512 19528454 24854396 28405024 39056908 43495193 49708792 56810048 68349589 78113816 86990386 99417584 136699178 156227632 173980772 198835168 273398356 304466351 312455264 347961544 397670336 478447123 546796712 608932702 624910528 695923088 956894246 1093593424 1217865404 1391846176 1913788492 2187186848 2435730808 2783692352 3349129861 3827576984 4374373696 4871461616 6698259722 7655153968 9742923232 13396519444 15310307936 19485846464 26793038888 30620615872 53586077776 107172155552 214344311104