Search a number
-
+
144242130030 = 235471073372837
BaseRepresentation
bin1000011001010110000…
…0000011110001101110
3111210022111000102011020
42012111200003301232
54330401441130110
6150133001235010
713264311606225
oct2062540036156
9453274012136
10144242130030
1156199a16229
1223b56492a66
13107a96cbbcb
146da4badcbc
153b43373d70
hex2195803c6e

144242130030 has 128 divisors (see below), whose sum is σ = 358035904512. Its totient is φ = 37170567168.

The previous prime is 144242129953. The next prime is 144242130041. The reversal of 144242130030 is 30031242441.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50841772 + ... + 50844608.

It is an arithmetic number, because the mean of its divisors is an integer number (2797155504).

Almost surely, 2144242130030 is an apocalyptic number.

144242130030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144242130030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179017952256).

144242130030 is an abundant number, since it is smaller than the sum of its proper divisors (213793774482).

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

144242130030 is a wasteful number, since it uses less digits than its factorization.

144242130030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 144242130030 its reverse (30031242441), we get a palindrome (174273372471).

The spelling of 144242130030 in words is "one hundred forty-four billion, two hundred forty-two million, one hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 107 141 214 235 282 321 337 470 535 642 674 705 1011 1070 1410 1605 1685 2022 2837 3210 3370 5029 5055 5674 8511 10058 10110 14185 15087 15839 17022 25145 28370 30174 31678 36059 42555 47517 50290 72118 75435 79195 85110 95034 108177 133339 150870 158390 180295 216354 237585 266678 303559 360590 400017 475170 540885 607118 666695 800034 910677 956069 1081770 1333390 1517795 1694773 1821354 1912138 2000085 2868207 3035590 3389546 4000170 4553385 4780345 5084319 5736414 8473865 9106770 9560690 10168638 14267273 14341035 16947730 25421595 28534546 28682070 42801819 44935243 50843190 71336365 85603638 89870486 102299383 134805729 142672730 204598766 214009095 224676215 269611458 306898149 428018190 449352430 511496915 613796298 674028645 1022993830 1348057290 1534490745 3068981490 4808071001 9616142002 14424213003 24040355005 28848426006 48080710010 72121065015 144242130030