Search a number
-
+
44122122414 = 2334734615023
BaseRepresentation
bin101001000101111000…
…100010100010101110
311012212221120001102000
4221011320202202232
51210330230404124
632134110113130
73121246565256
oct510570424256
9135787501360
1044122122414
1117791873687
1286744ab7a6
134212091c56
1421c7c30966
1512338316c9
hexa45e228ae

44122122414 has 64 divisors (see below), whose sum is σ = 100184186880. Its totient is φ = 14387427360.

The previous prime is 44122122409. The next prime is 44122122431. The reversal of 44122122414 is 41422122144.

44122122414 is a `hidden beast` number, since 4 + 4 + 1 + 221 + 22 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 8781507 + ... + 8786529.

It is an arithmetic number, because the mean of its divisors is an integer number (1565377920).

Almost surely, 244122122414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44122122414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50092093440).

44122122414 is an abundant number, since it is smaller than the sum of its proper divisors (56062064466).

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

44122122414 is a wasteful number, since it uses less digits than its factorization.

44122122414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8542 (or 8536 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 44122122414 its reverse (41422122144), we get a palindrome (85544244558).

The spelling of 44122122414 in words is "forty-four billion, one hundred twenty-two million, one hundred twenty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 2538 3461 5023 6922 10046 10383 15069 20766 30138 31149 45207 62298 90414 93447 135621 162667 186894 236081 271242 325334 472162 488001 708243 976002 1416486 1464003 2124729 2928006 4249458 4392009 6374187 8784018 12748374 17384603 34769206 52153809 104307618 156461427 312922854 469384281 817076341 938768562 1634152682 2451229023 4902458046 7353687069 14707374138 22061061207 44122122414