Search a number
-
+
144000000432 = 243223307141623
BaseRepresentation
bin1000011000011100010…
…0011010000110110000
3111202200121101221210100
42012013010122012300
54324403000003212
6150052551432400
713255311544101
oct2060704320660
9452617357710
10144000000432
1156085278722
1223aa9385700
131076b4b3962
146d809823a8
153b2be96bdc
hex218711a1b0

144000000432 has 120 divisors (see below), whose sum is σ = 421894497024. Its totient is φ = 45763166592.

The previous prime is 144000000413. The next prime is 144000000481. The reversal of 144000000432 is 234000000441.

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

144000000432 is a modest number, since divided by 432 gives 144 as remainder.

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, 945973 + ... + 1087595.

Almost surely, 2144000000432 is an apocalyptic number.

144000000432 is a gapful number since it is divisible by the number (12) 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 144000000432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210947248512).

144000000432 is an abundant number, since it is smaller than the sum of its proper divisors (277894496592).

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

144000000432 is a wasteful number, since it uses less digits than its factorization.

144000000432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141967 (or 141958 counting only the distinct ones).

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

Adding to 144000000432 its reverse (234000000441), we get a palindrome (378000000873).

Subtracting 144000000432 from its reverse (234000000441), we obtain a palindrome (90000000009).

The spelling of 144000000432 in words is "one hundred forty-four billion, four hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 307 368 414 552 614 828 921 1104 1228 1656 1842 2456 2763 3312 3684 4912 5526 7061 7368 11052 14122 14736 21183 22104 28244 42366 44208 56488 63549 84732 112976 127098 141623 169464 254196 283246 338928 424869 508392 566492 849738 1016784 1132984 1274607 1699476 2265968 2549214 3257329 3398952 5098428 6514658 6797904 9771987 10196856 13029316 19543974 20393712 26058632 29315961 39087948 43478261 52117264 58631922 78175896 86956522 117263844 130434783 156351792 173913044 234527688 260869566 347826088 391304349 469055376 521739132 695652176 782608698 1000000003 1043478264 1565217396 2000000006 2086956528 3000000009 3130434792 4000000012 6000000018 6260869584 8000000024 9000000027 12000000036 16000000048 18000000054 24000000072 36000000108 48000000144 72000000216 144000000432