Search a number
-
+
144977616 = 24327143827
BaseRepresentation
bin10001010010000…
…10111011010000
3101002210121220100
420221002323100
5244103240431
622215212400
73410201160
oct1051027320
9332717810
10144977616
1174921913
1240677100
1324060b94
141537c5a0
15cadb4e6
hex8a42ed0

144977616 has 60 divisors (see below), whose sum is σ = 463701472. Its totient is φ = 41421888.

The previous prime is 144977611. The next prime is 144977621. The reversal of 144977616 is 616779441.

It is an interprime number because it is at equal distance from previous prime (144977611) and next prime (144977621).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144977611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70906 + ... + 72921.

Almost surely, 2144977616 is an apocalyptic number.

144977616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144977616 is an abundant number, since it is smaller than the sum of its proper divisors (318723856).

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

144977616 is a wasteful number, since it uses less digits than its factorization.

144977616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143848 (or 143839 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 144977616 is about 12040.6650979088. The cubic root of 144977616 is about 525.3317522234.

The spelling of 144977616 in words is "one hundred forty-four million, nine hundred seventy-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 143827 287654 431481 575308 862962 1006789 1150616 1294443 1725924 2013578 2301232 2588886 3020367 3451848 4027156 5177772 6040734 6903696 8054312 9061101 10355544 12081468 16108624 18122202 20711088 24162936 36244404 48325872 72488808 144977616