Search a number
-
+
214614121792 = 2675910775883
BaseRepresentation
bin1100011111011111111…
…1111001110101000000
3202111221211022222210111
43013313333321311000
512004012203344132
6242331541241104
721335223636040
oct3076777716500
9674854288714
10214614121792
1183021093204
1235715a03194
1317312c2c615
14a55cd79720
1558b1464647
hex31f7ff9d40

214614121792 has 112 divisors (see below), whose sum is σ = 499595973120. Its totient is φ = 89572326912.

The previous prime is 214614121789. The next prime is 214614121829. The reversal of 214614121792 is 297121416412.

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

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, 2790283 + ... + 2866165.

Almost surely, 2214614121792 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 214614121792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249797986560).

214614121792 is an abundant number, since it is smaller than the sum of its proper divisors (284981851328).

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

214614121792 is a wasteful number, since it uses less digits than its factorization.

214614121792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76068 (or 76058 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The spelling of 214614121792 in words is "two hundred fourteen billion, six hundred fourteen million, one hundred twenty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 107 112 118 214 224 236 413 428 448 472 749 826 856 944 1498 1652 1712 1888 2996 3304 3424 3776 5992 6313 6608 6848 11984 12626 13216 23968 25252 26432 44191 47936 50504 75883 88382 101008 151766 176764 202016 303532 353528 404032 531181 607064 707056 1062362 1214128 1414112 2124724 2428256 2828224 4249448 4477097 4856512 8119481 8498896 8954194 16238962 16997792 17908388 31339679 32477924 33995584 35816776 56836367 62679358 64955848 71633552 113672734 125358716 129911696 143267104 227345468 250717432 259823392 286534208 454690936 479049379 501434864 519646784 909381872 958098758 1002869728 1818763744 1916197516 2005739456 3353345653 3637527488 3832395032 6706691306 7664790064 13413382612 15329580128 26826765224 30659160256 53653530448 107307060896 214614121792