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144400433004 = 2232293113932099
BaseRepresentation
bin1000011001111011101…
…1111011111101101100
3111210201111220001000100
42012132323323331230
54331213002324004
6150200414231100
713301243300022
oct2063673737554
9453644801010
10144400433004
1156270309633
1223b9b4b5490
13108034470c9
146dbbc1a712
153b521e3739
hex219eefbf6c

144400433004 has 144 divisors (see below), whose sum is σ = 392595840000. Its totient is φ = 44649601920.

The previous prime is 144400432987. The next prime is 144400433041. The reversal of 144400433004 is 400334004441.

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, 4482547 + ... + 4514645.

It is an arithmetic number, because the mean of its divisors is an integer number (2726360000).

Almost surely, 2144400433004 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 144400433004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196297920000).

144400433004 is an abundant number, since it is smaller than the sum of its proper divisors (248195406996).

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

144400433004 is a wasteful number, since it uses less digits than its factorization.

144400433004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32308 (or 32303 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 144400433004 its reverse (400334004441), we get a palindrome (544734437445).

The spelling of 144400433004 in words is "one hundred forty-four billion, four hundred million, four hundred thirty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 139 174 186 261 278 279 348 372 417 522 556 558 834 899 1044 1116 1251 1668 1798 2502 2697 3596 4031 4309 5004 5394 8062 8091 8618 10788 12093 12927 16124 16182 17236 24186 25854 32099 32364 36279 38781 48372 51708 64198 72558 77562 96297 124961 128396 145116 155124 192594 249922 288891 374883 385188 499844 577782 749766 930871 995069 1124649 1155564 1499532 1861742 1990138 2249298 2792613 2985207 3723484 3980276 4461761 4498596 5585226 5970414 8377839 8923522 8955621 11170452 11940828 13385283 16755678 17847044 17911242 26770566 28857001 33511356 35822484 40155849 53541132 57714002 80311698 86571003 115428004 129391069 138314591 160623396 173142006 258782138 259713009 276629182 346284012 388173207 414943773 517564276 519426018 553258364 776346414 829887546 1038852036 1164519621 1244831319 1552692828 1659775092 2329039242 2489662638 4011123139 4658078484 4979325276 8022246278 12033369417 16044492556 24066738834 36100108251 48133477668 72200216502 144400433004