Search a number
-
+
146061505044 = 223371388316831
BaseRepresentation
bin1000100000000111110…
…0011011001000010100
3111222000021111020111000
42020001330123020110
54343113221130134
6151033312543300
713360353210450
oct2100174331024
9458007436430
10146061505044
1156a42a03644
1224383851b30
1310a09613a80
1470d868b660
153bece57e99
hex2201f1b214

146061505044 has 192 divisors, whose sum is σ = 466620743680. Its totient is φ = 38475803520.

The previous prime is 146061505019. The next prime is 146061505081. The reversal of 146061505044 is 440505160641.

146061505044 is a `hidden beast` number, since 1 + 4 + 606 + 1 + 5 + 0 + 5 + 0 + 44 = 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 63 ways as a sum of consecutive naturals, for example, 8669709 + ... + 8686539.

Almost surely, 2146061505044 is an apocalyptic number.

146061505044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146061505044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233310371840).

146061505044 is an abundant number, since it is smaller than the sum of its proper divisors (320559238636).

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

146061505044 is a wasteful number, since it uses less digits than its factorization.

146061505044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17747 (or 17739 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 146061505044 its reverse (440505160641), we get a palindrome (586566665685).

The spelling of 146061505044 in words is "one hundred forty-six billion, sixty-one million, five hundred five thousand, forty-four".