Search a number
-
+
144023335440 = 2435600097231
BaseRepresentation
bin1000011000100001110…
…1011011001000010000
3111202202020022111101220
42012020131123020100
54324424433213230
6150055143525040
713256014103145
oct2061035331020
9452666274356
10144023335440
1156097466656
1223ab5159780
131077329405a
146d83ad83cc
153b2e055d10
hex218875b210

144023335440 has 40 divisors (see below), whose sum is σ = 446472340608. Its totient is φ = 38406222720.

The previous prime is 144023335433. The next prime is 144023335451. The reversal of 144023335440 is 44533320441.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300048376 + ... + 300048855.

Almost surely, 2144023335440 is an apocalyptic number.

144023335440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144023335440 is an abundant number, since it is smaller than the sum of its proper divisors (302449005168).

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

144023335440 is a wasteful number, since it uses less digits than its factorization.

144023335440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600097247 (or 600097241 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 144023335440 its reverse (44533320441), we get a palindrome (188556655881).

The spelling of 144023335440 in words is "one hundred forty-four billion, twenty-three million, three hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 600097231 1200194462 1800291693 2400388924 3000486155 3600583386 4800777848 6000972310 7201166772 9001458465 9601555696 12001944620 14402333544 18002916930 24003889240 28804667088 36005833860 48007778480 72011667720 144023335440