Search a number
-
+
112041446364 = 22324182192459
BaseRepresentation
bin110100001011000110…
…0001100101111011100
3101201012100202012022200
41220112030030233130
53313430102240424
6123245433011500
711044330403061
oct1502614145734
9351170665280
10112041446364
1143575525a71
121986a553b90
13a747426233
1455cc38ac68
152dab4458c9
hex1a1630cbdc

112041446364 has 72 divisors (see below), whose sum is σ = 290480102640. Its totient is φ = 36391468800.

The previous prime is 112041446339. The next prime is 112041446459. The reversal of 112041446364 is 463644140211.

112041446364 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 4 + 14 + 4 + 636 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1165567 + ... + 1258025.

It is an arithmetic number, because the mean of its divisors is an integer number (4034445870).

Almost surely, 2112041446364 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 112041446364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145240051320).

112041446364 is an abundant number, since it is smaller than the sum of its proper divisors (178438656276).

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

112041446364 is a wasteful number, since it uses less digits than its factorization.

112041446364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93331 (or 93326 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 112041446364 its reverse (463644140211), we get a palindrome (575685586575).

The spelling of 112041446364 in words is "one hundred twelve billion, forty-one million, four hundred forty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 821 1476 1642 2463 3284 4926 7389 9852 14778 29556 33661 67322 92459 100983 134644 184918 201966 277377 302949 369836 403932 554754 605898 832131 1109508 1211796 1664262 3328524 3790819 7581638 11372457 15163276 22744914 34117371 45489828 68234742 75908839 136469484 151817678 227726517 303635356 455453034 683179551 910906068 1366359102 2732718204 3112262399 6224524798 9336787197 12449049596 18673574394 28010361591 37347148788 56020723182 112041446364