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144033130203156 = 223219377841725827
BaseRepresentation
bin100000101111111101010011…
…100011111100100000010100
3200212222102200111020221101200
4200233331103203330200110
5122334314322313000111
61230155523452152500
742224023144261605
oct4057752343744024
9625872614227350
10144033130203156
11419911200778a7
12141a2703a68730
13624a35c24282c
14277d352691dac
15119b973cd3256
hex82ff538fc814

144033130203156 has 144 divisors (see below), whose sum is σ = 393654790052160. Its totient is φ = 44249140131840.

The previous prime is 144033130203139. The next prime is 144033130203161. The reversal of 144033130203156 is 651302031330441.

144033130203156 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 3 + 31 + 302 + 0 + 315 + 6 = 666.

144033130203156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1440331302031562 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 144033130203156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198077115 + ... + 198802941.

Almost surely, 2144033130203156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144033130203156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196827395026080).

144033130203156 is an abundant number, since it is smaller than the sum of its proper divisors (249621659849004).

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

144033130203156 is a wasteful number, since it uses less digits than its factorization.

144033130203156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733734 (or 733729 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 144033130203156 its reverse (651302031330441), we get a palindrome (795335161533597).

The spelling of 144033130203156 in words is "one hundred forty-four trillion, thirty-three billion, one hundred thirty million, two hundred three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 148 171 222 228 333 342 444 666 684 703 1332 1406 2109 2812 4218 6327 7841 8436 12654 15682 23523 25308 31364 47046 70569 94092 141138 148979 282276 290117 297958 446937 580234 595916 725827 870351 893874 1160468 1340811 1451654 1740702 1787748 2177481 2611053 2681622 2903308 3481404 4354962 5222106 5363244 5512223 6532443 8709924 10444212 11024446 13064886 13790713 16536669 22048892 26129772 26855599 27581426 33073338 41372139 49610007 53711198 55162852 66146676 80566797 82744278 99220014 107422396 124116417 161133594 165488556 198440028 241700391 248232834 322267188 483400782 496465668 510256381 966801564 1020512762 1530769143 2041025524 3061538286 4592307429 5691209507 6123076572 9184614858 11382419014 17073628521 18369229716 22764838028 34147257042 51220885563 68294514084 102441771126 108132980633 204883542252 210574751759 216265961266 324398941899 421149503518 432531922532 631724255277 648797883798 842299007036 973196825697 1263448510554 1297595767596 1895172765831 1946393651394 2526897021108 3790345531662 3892787302788 4000920283421 7580691063324 8001840566842 12002760850263 16003681133684 24005521700526 36008282550789 48011043401052 72016565101578 144033130203156