Search a number
-
+
144351451040 = 255902196569
BaseRepresentation
bin1000011001110000000…
…1000101011110100000
3111210121002201111101112
42012130001011132200
54331112432413130
6150151504322452
713300110042326
oct2063401053640
9453532644345
10144351451040
11562456a3775
1223b87013428
13107c62571b4
146db5509d16
153b4cc6a495
hex219c0457a0

144351451040 has 24 divisors (see below), whose sum is σ = 341030303460. Its totient is φ = 57740580352.

The previous prime is 144351451031. The next prime is 144351451109. The reversal of 144351451040 is 40154153441.

It can be written as a sum of positive squares in 2 ways, for example, as 127400452624 + 16950998416 = 356932^2 + 130196^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 144351450988 and 144351451006.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 451098125 + ... + 451098444.

Almost surely, 2144351451040 is an apocalyptic number.

144351451040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144351451040 is an abundant number, since it is smaller than the sum of its proper divisors (196678852420).

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

144351451040 is an equidigital number, since it uses as much as digits as its factorization.

144351451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902196584 (or 902196576 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 144351451040 in words is "one hundred forty-four billion, three hundred fifty-one million, four hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 902196569 1804393138 3608786276 4510982845 7217572552 9021965690 14435145104 18043931380 28870290208 36087862760 72175725520 144351451040