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144023004 = 22327989569
BaseRepresentation
bin10001001010110…
…01110111011100
3101001000010102100
420211121313130
5243332214004
622142525100
73366114066
oct1045316734
9331003370
10144023004
117432a684
1240296790
1323ab8518
14151b0736
15c99d739
hex8959ddc

144023004 has 72 divisors (see below), whose sum is σ = 373464000. Its totient is φ = 46785024.

The previous prime is 144022979. The next prime is 144023023. The reversal of 144023004 is 400320441.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252832 + ... + 253400.

It is an arithmetic number, because the mean of its divisors is an integer number (5187000).

Almost surely, 2144023004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144023004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186732000).

144023004 is an abundant number, since it is smaller than the sum of its proper divisors (229440996).

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

144023004 is a wasteful number, since it uses less digits than its factorization.

144023004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 742 counting only the distinct ones).

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

The square root of 144023004 is about 12000.9584617230. The cubic root of 144023004 is about 524.1761882515.

Adding to 144023004 its reverse (400320441), we get a palindrome (544343445).

The spelling of 144023004 in words is "one hundred forty-four million, twenty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 79 89 158 178 237 267 316 356 474 534 569 711 801 948 1068 1138 1422 1602 1707 2276 2844 3204 3414 5121 6828 7031 10242 14062 20484 21093 28124 42186 44951 50641 63279 84372 89902 101282 126558 134853 151923 179804 202564 253116 269706 303846 404559 455769 539412 607692 809118 911538 1618236 1823076 4000639 8001278 12001917 16002556 24003834 36005751 48007668 72011502 144023004