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144034002 = 23271279001
BaseRepresentation
bin10001001010111…
…00100011010010
3101001000200111200
420211130203102
5243333042002
622143052030
73366161130
oct1045344322
9331020450
10144034002
1174337972
12402a1016
1323ac0528
14151b4750
15c9a1b1c
hex895c8d2

144034002 has 48 divisors (see below), whose sum is σ = 359503872. Its totient is φ = 40824000.

The previous prime is 144034001. The next prime is 144034021. The reversal of 144034002 is 200430441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (144034001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11502 + ... + 20502.

It is an arithmetic number, because the mean of its divisors is an integer number (7489664).

Almost surely, 2144034002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144034002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179751936).

144034002 is an abundant number, since it is smaller than the sum of its proper divisors (215469870).

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

144034002 is a wasteful number, since it uses less digits than its factorization.

144034002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9143 (or 9140 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 144034002 is about 12001.4166663773. The cubic root of 144034002 is about 524.1895304326.

Adding to 144034002 its reverse (200430441), we get a palindrome (344464443).

The spelling of 144034002 in words is "one hundred forty-four million, thirty-four thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 254 381 762 889 1143 1778 2286 2667 5334 8001 9001 16002 18002 27003 54006 63007 81009 126014 162018 189021 378042 567063 1134126 1143127 2286254 3429381 6858762 8001889 10288143 16003778 20576286 24005667 48011334 72017001 144034002