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144301441332204 = 2232132953331993679
BaseRepresentation
bin100000110011110111001100…
…001001101011001111101100
3200220221002020112222112100200
4200303313030021223033230
5122403213322440112304
61230523100022553500
742252302144244342
oct4063671411531754
9626832215875320
10144301441332204
1141a84996779352
1214226704898890
13626974bb28510
14278c326d5d992
1511a3929461e39
hex833dcc26b3ec

144301441332204 has 144 divisors (see below), whose sum is σ = 406442530166400. Its totient is φ = 42861333699072.

The previous prime is 144301441332199. The next prime is 144301441332253. The reversal of 144301441332204 is 402233144103441.

144301441332204 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 0 + 1 + 4 + 413 + 32 + 204 = 666.

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

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, 71382637 + ... + 73376315.

It is an arithmetic number, because the mean of its divisors is an integer number (2822517570600).

Almost surely, 2144301441332204 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 144301441332204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203221265083200).

144301441332204 is an abundant number, since it is smaller than the sum of its proper divisors (262141088834196).

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

144301441332204 is a wasteful number, since it uses less digits than its factorization.

144301441332204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999064 (or 1999059 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 144301441332204 its reverse (402233144103441), we get a palindrome (546534585435645).

The spelling of 144301441332204 in words is "one hundred forty-four trillion, three hundred one billion, four hundred forty-one million, three hundred thirty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4524 5333 6786 10666 13572 15999 21332 31998 47997 63996 69329 95994 138658 154657 191988 207987 277316 309314 415974 463971 618628 623961 831948 927942 1247922 1391913 1855884 1993679 2010541 2495844 2783826 3987358 4021082 5567652 5981037 6031623 7974716 8042164 11962074 12063246 17943111 18094869 23924148 24126492 25917827 35886222 36189738 51835654 57816691 71772444 72379476 77753481 103671308 115633382 155506962 173450073 231266764 233260443 311013924 346900146 466520886 520350219 693800292 751616983 933041772 1040700438 1503233966 2081400876 2254850949 3006467932 4509701898 6764552847 9019403796 10632290107 13529105694 21264580214 27058211388 31896870321 42529160428 63793740642 95690610963 127587481284 138219771391 191381221926 276439542782 308336413103 382762443852 414659314173 552879085564 616672826206 829318628346 925009239309 1233345652412 1243977942519 1658637256692 1850018478618 2487955885038 2775027717927 3700036957236 4008373370339 4975911770076 5550055435854 8016746740678 11100110871708 12025120111017 16033493481356 24050240222034 36075360333051 48100480444068 72150720666102 144301441332204