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441143340144 = 243135315784961
BaseRepresentation
bin1100110101101100011…
…00010010110001110000
31120011200001000121022120
412122312030102301300
524211430143341034
6534354120434240
743604641344003
oct6326614226160
91504601017276
10441143340144
111600a6a07851
12715b6018980
13327a4537520
14174cc55153a
15b71d977c49
hex66b6312c70

441143340144 has 160 divisors (see below), whose sum is σ = 1258419081024. Its totient is φ = 132325539840.

The previous prime is 441143340133. The next prime is 441143340161. The reversal of 441143340144 is 441043341144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5149824 + ... + 5234784.

Almost surely, 2441143340144 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 441143340144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629209540512).

441143340144 is an abundant number, since it is smaller than the sum of its proper divisors (817275740880).

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

441143340144 is a wasteful number, since it uses less digits than its factorization.

441143340144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85195 (or 85189 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 441143340144 its reverse (441043341144), we get a palindrome (882186681288).

The spelling of 441143340144 in words is "four hundred forty-one billion, one hundred forty-three million, three hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 157 159 208 212 312 314 318 424 471 624 628 636 689 848 942 1256 1272 1378 1884 2041 2067 2512 2544 2756 3768 4082 4134 5512 6123 7536 8164 8268 8321 11024 12246 16328 16536 16642 24492 24963 32656 33072 33284 48984 49926 66568 84961 97968 99852 108173 133136 169922 199704 216346 254883 324519 339844 399408 432692 509766 649038 679688 865384 1019532 1104493 1298076 1359376 1730768 2039064 2208986 2596152 3313479 4078128 4417972 4502933 5192304 6626958 8835944 9005866 13253916 13338877 13508799 17671888 18011732 26507832 26677754 27017598 36023464 40016631 53015664 53355508 54035196 58538129 72046928 80033262 106711016 108070392 117076258 160066524 173405401 175614387 213422032 216140784 234152516 320133048 346810802 351228774 468305032 520216203 640266096 693621604 702457548 706960481 936610064 1040432406 1387243208 1404915096 1413920962 2080864812 2120881443 2774486416 2809830192 2827841924 4161729624 4241762886 5655683848 8323459248 8483525772 9190486253 11311367696 16967051544 18380972506 27571458759 33934103088 36761945012 55142917518 73523890024 110285835036 147047780048 220571670072 441143340144