Search a number
-
+
144402324004240 = 24510182279217207
BaseRepresentation
bin100000110101010101001001…
…001110100001110110010000
3200221021201122020112021000021
4200311111021032201312100
5122411341424421113430
61231041302320433224
742262503126641611
oct4065251116416620
9627251566467007
10144402324004240
1142013755380a75
121424217a178814
1362761084754b3
142793177309c08
1511a6380e0407a
hex8355493a1d90

144402324004240 has 80 divisors (see below), whose sum is σ = 339065198081280. Its totient is φ = 57188080857600.

The previous prime is 144402324004229. The next prime is 144402324004277. The reversal of 144402324004240 is 42400423204441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 144402324004196 and 144402324004205.

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, 664705717 + ... + 664922923.

It is an arithmetic number, because the mean of its divisors is an integer number (4238314976016).

Almost surely, 2144402324004240 is an apocalyptic number.

144402324004240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144402324004240 is an abundant number, since it is smaller than the sum of its proper divisors (194662874077040).

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

144402324004240 is a wasteful number, since it uses less digits than its factorization.

144402324004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299600 (or 299594 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 144402324004240 its reverse (42400423204441), we get a palindrome (186802747208681).

The spelling of 144402324004240 in words is "one hundred forty-four trillion, four hundred two billion, three hundred twenty-four million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 82279 164558 217207 329116 411395 434414 658232 822790 868828 1086035 1316464 1645580 1737656 2172070 3291160 3475312 4344140 6582320 8310179 8688280 16620358 17376560 21937907 33240716 41550895 43875814 66481432 83101790 87751628 109689535 132962864 166203580 175503256 219379070 332407160 351006512 438758140 664814320 877516280 1755032560 17871574753 35743149506 71486299012 89357873765 142972598024 178715747530 285945196048 357431495060 714862990120 1429725980240 1805029050053 3610058100106 7220116200212 9025145250265 14440232400424 18050290500530 28880464800848 36100581001060 72201162002120 144402324004240