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144300433343004 = 2232311493331326141
BaseRepresentation
bin100000110011110110010000…
…000100100000001000011100
3200220220222122022021101010100
4200303312100010200020130
5122403204241413434004
61230522412014141100
742252235154420331
oct4063662004401034
9626828568241110
10144300433343004
1141a84519799124
12142264831b1790
13626961b051ac3
14278c26d132988
1511a38bac03739
hex833d9012021c

144300433343004 has 144 divisors (see below), whose sum is σ = 376906200862464. Its totient is φ = 46501529241600.

The previous prime is 144300433342991. The next prime is 144300433343023. The reversal of 144300433343004 is 400343334003441.

144300433343004 is a `hidden beast` number, since 1 + 4 + 4 + 300 + 4 + 3 + 3 + 343 + 0 + 0 + 4 = 666.

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 144300433343004.

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, 5520067774 + ... + 5520093914.

It is an arithmetic number, because the mean of its divisors is an integer number (2617404172656).

Almost surely, 2144300433343004 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 144300433343004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188453100431232).

144300433343004 is an abundant number, since it is smaller than the sum of its proper divisors (232605767519460).

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

144300433343004 is a wasteful number, since it uses less digits than its factorization.

144300433343004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30988 (or 30983 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 144300433343004 its reverse (400343334003441), we get a palindrome (544643767346445).

The spelling of 144300433343004 in words is "one hundred forty-four trillion, three hundred billion, four hundred thirty-three million, three hundred forty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 1493 2986 3313 4479 5972 6626 8958 9939 13252 13437 17916 19878 26141 26874 29817 39756 46283 52282 53748 59634 78423 92566 102703 104564 119268 138849 156846 185132 205406 235269 277698 308109 313692 410812 416547 470538 555396 616218 810371 833094 924327 941076 1232436 1620742 1666188 1848654 2431113 3241484 3697308 4862226 4946309 7293339 9724452 9892618 14586678 14838927 19785236 29173356 29677854 39028513 44516781 59355708 78057026 86605133 89033562 117085539 153335579 156114052 173210266 178067124 234171078 259815399 306671158 346420532 351256617 460006737 468342156 519630798 613342316 702513234 779446197 920013474 1039261596 1209883903 1380020211 1405026468 1558892394 1840026948 2419767806 2684759123 2760040422 3117784788 3629651709 4839535612 5369518246 5520080844 7259303418 8054277369 10739036492 10888955127 14518606836 16108554738 21777910254 24162832107 32217109476 43555820508 48325664214 96651328428 129301463569 258602927138 387904390707 517205854276 775808781414 1163713172121 1551617562828 2327426344242 4008345370639 4654852688484 8016690741278 12025036111917 16033381482556 24050072223834 36075108335751 48100144447668 72150216671502 144300433343004