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144370842 = 237112111481
BaseRepresentation
bin10001001101011…
…10110010011010
3101001122210120020
420212232302122
5243424331332
622154211310
73402063150
oct1046566232
9331583506
10144370842
1174547a50
1240423b36
1323baa945
14152613d0
15ca1b82c
hex89aec9a

144370842 has 64 divisors (see below), whose sum is σ = 361939968. Its totient is φ = 37296000.

The previous prime is 144370829. The next prime is 144370843. The reversal of 144370842 is 248073441.

144370842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (144370843) 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, 96742 + ... + 98222.

It is an arithmetic number, because the mean of its divisors is an integer number (5655312).

Almost surely, 2144370842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144370842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180969984).

144370842 is an abundant number, since it is smaller than the sum of its proper divisors (217569126).

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

144370842 is a wasteful number, since it uses less digits than its factorization.

144370842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715.

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 144370842 is about 12015.4418145984. The cubic root of 144370842 is about 524.5978380452.

The spelling of 144370842 in words is "one hundred forty-four million, three hundred seventy thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 211 231 422 462 633 1266 1477 1481 2321 2954 2962 4431 4443 4642 6963 8862 8886 10367 13926 16247 16291 20734 31101 32494 32582 48741 48873 62202 97482 97746 114037 228074 312491 342111 624982 684222 937473 1874946 2187437 3437401 4374874 6562311 6874802 10312203 13124622 20624406 24061807 48123614 72185421 144370842