Search a number
-
+
4303311000144 = 24313103106962633
BaseRepresentation
bin111110100111110001010…
…100101101001001010000
3120020101121010211222000020
4332213301110231021100
51031001140104001034
613052525213223440
7622622025654222
oct76476124551120
916211533758006
104303311000144
11140a029966322
12596016191b80
13252a5388b510
1410c3d20c2412
1576e14191249
hex3e9f152d250

4303311000144 has 160 divisors (see below), whose sum is σ = 12099766398720. Its totient is φ = 1309992873984.

The previous prime is 4303311000133. The next prime is 4303311000151. The reversal of 4303311000144 is 4410001133034.

4303311000144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 68675452 + ... + 68738084.

It is an arithmetic number, because the mean of its divisors is an integer number (75623539992).

Almost surely, 24303311000144 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 4303311000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049883199360).

4303311000144 is an abundant number, since it is smaller than the sum of its proper divisors (7796455398576).

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

4303311000144 is a wasteful number, since it uses less digits than its factorization.

4303311000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63829 (or 63823 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4303311000144 its reverse (4410001133034), we get a palindrome (8713312133178).

The spelling of 4303311000144 in words is "four trillion, three hundred three billion, three hundred eleven million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 103 104 156 206 208 309 312 412 618 624 824 1069 1236 1339 1648 2138 2472 2678 3207 4017 4276 4944 5356 6414 8034 8552 10712 12828 13897 16068 17104 21424 25656 27794 32136 41691 51312 55588 62633 64272 83382 110107 111176 125266 166764 187899 220214 222352 250532 330321 333528 375798 440428 501064 660642 667056 751596 814229 880856 1002128 1321284 1431391 1503192 1628458 1761712 2442687 2642568 2862782 3006384 3256916 4294173 4885374 5285136 5725564 6451199 6513832 8588346 9770748 11451128 12902398 13027664 17176692 19353597 19541496 22902256 25804796 34353384 38707194 39082992 51609592 66954677 68706768 77414388 83865587 103219184 133909354 154828776 167731174 200864031 251596761 267818708 309657552 335462348 401728062 503193522 535637416 670924696 803456124 870410801 1006387044 1071274832 1341849392 1606912248 1740821602 2012774088 2611232403 3213824496 3481643204 4025548176 5222464806 6896331731 6963286408 10444929612 13792663462 13926572816 20688995193 20889859224 27585326924 41377990386 41779718448 55170653848 82755980772 89652312503 110341307696 165511961544 179304625006 268956937509 331023923088 358609250012 537913875018 717218500024 1075827750036 1434437000048 2151655500072 4303311000144