Search a number
-
+
161445042 = 233111911423
BaseRepresentation
bin10011001111101…
…11010010110010
3102020210020222000
421213313102302
5312312220132
624004154430
74000155153
oct1147672262
9366706860
10161445042
118314a060
1246098a16
13275a8415
141762792a
15e29087c
hex99f74b2

161445042 has 64 divisors (see below), whose sum is σ = 393707520. Its totient is φ = 48632400.

The previous prime is 161445041. The next prime is 161445103. The reversal of 161445042 is 240544161.

161445042 is a `hidden beast` number, since 1 + 614 + 4 + 5 + 0 + 42 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 161444997 and 161445015.

It is not an unprimeable number, because it can be changed into a prime (161445041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112743 + ... + 114165.

It is an arithmetic number, because the mean of its divisors is an integer number (6151680).

Almost surely, 2161445042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161445042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196853760).

161445042 is an abundant number, since it is smaller than the sum of its proper divisors (232262478).

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

161445042 is a wasteful number, since it uses less digits than its factorization.

161445042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 161445042 is about 12706.1025495626. The cubic root of 161445042 is about 544.5129807407.

It can be divided in two parts, 1614 and 45042, that added together give a 6-th power (46656 = 66).

The spelling of 161445042 in words is "one hundred sixty-one million, four hundred forty-five thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 191 198 297 382 573 594 1146 1423 1719 2101 2846 3438 4202 4269 5157 6303 8538 10314 12606 12807 15653 18909 25614 31306 37818 38421 46959 56727 76842 93918 113454 140877 271793 281754 422631 543586 815379 845262 1630758 2446137 2989723 4892274 5979446 7338411 8969169 14676822 17938338 26907507 53815014 80722521 161445042