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144556780 = 225173711491
BaseRepresentation
bin10001001110111…
…00001011101100
3101002000020121211
420213130023230
5244001304110
622202204204
73403466224
oct1047341354
9332006554
10144556780
1174664715
12404b3664
1323c44474
14152ad084
15ca5698a
hex89dc2ec

144556780 has 48 divisors (see below), whose sum is σ = 330142176. Its totient is φ = 52945920.

The previous prime is 144556777. The next prime is 144556799. The reversal of 144556780 is 87655441.

144556780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6835 + ... + 18325.

It is an arithmetic number, because the mean of its divisors is an integer number (6877962).

Almost surely, 2144556780 is an apocalyptic number.

144556780 is a gapful number since it is divisible by the number (10) 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 144556780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165071088).

144556780 is an abundant number, since it is smaller than the sum of its proper divisors (185585396).

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

144556780 is a wasteful number, since it uses less digits than its factorization.

144556780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11554 (or 11552 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 144556780 is about 12023.1767848601. The cubic root of 144556780 is about 524.8229546632.

The spelling of 144556780 in words is "one hundred forty-four million, five hundred fifty-six thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 1258 2516 3145 6290 11491 12580 22982 45964 57455 114910 195347 229820 390694 425167 781388 850334 976735 1700668 1953470 2125835 3906940 4251670 7227839 8503340 14455678 28911356 36139195 72278390 144556780