Search a number
-
+
144143041040 = 24514915837639
BaseRepresentation
bin1000011000111110011…
…0000100001000010000
3111210001120120011121122
42012033212010020100
54330201104303130
6150115101341412
713261666430105
oct2061746041020
9453046504548
10144143041040
1156148a971a9
1223b29267868
1310792016c7b
146d95978aac
153b397ee2e5
hex218f984210

144143041040 has 80 divisors (see below), whose sum is σ = 337639104000. Its totient is φ = 57226584576.

The previous prime is 144143041019. The next prime is 144143041117. The reversal of 144143041040 is 40140341441.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18865541 + ... + 18873179.

It is an arithmetic number, because the mean of its divisors is an integer number (4220488800).

Almost surely, 2144143041040 is an apocalyptic number.

144143041040 is a gapful number since it is divisible by the number (10) 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 144143041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168819552000).

144143041040 is an abundant number, since it is smaller than the sum of its proper divisors (193496062960).

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

144143041040 is a wasteful number, since it uses less digits than its factorization.

144143041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9384 (or 9378 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 144143041040 its reverse (40140341441), we get a palindrome (184283382481).

The spelling of 144143041040 in words is "one hundred forty-four billion, one hundred forty-three million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 1583 2384 2980 3166 5960 6332 7639 7915 11920 12664 15278 15830 25328 30556 31660 38195 61112 63320 76390 122224 126640 152780 235867 305560 471734 611120 943468 1138211 1179335 1886936 2276422 2358670 3773872 4552844 4717340 5691055 9105688 9434680 11382110 12092537 18211376 18869360 22764220 24185074 45528440 48370148 60462685 91056880 96740296 120925370 193480592 241850740 483701480 967402960 1801788013 3603576026 7207152052 9008940065 14414304104 18017880130 28828608208 36035760260 72071520520 144143041040