Search a number
-
+
319238465080 = 235171134579091
BaseRepresentation
bin1001010010101000001…
…10000110011000111000
31010112000021111022110211
410221110012012120320
520212300021340310
6402353420120504
732031012115663
oct4512406063070
91115007438424
10319238465080
1111342a877917
1251a54396134
1324147800662
14116462326da
15848664ec8a
hex4a54186638

319238465080 has 128 divisors (see below), whose sum is σ = 769032636480. Its totient is φ = 118846586880.

The previous prime is 319238465071. The next prime is 319238465081. The reversal of 319238465080 is 80564832913.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319238465081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35111335 + ... + 35120425.

Almost surely, 2319238465080 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 319238465080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384516318240).

319238465080 is an abundant number, since it is smaller than the sum of its proper divisors (449794171400).

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

319238465080 is a wasteful number, since it uses less digits than its factorization.

319238465080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9689 (or 9685 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 319238465080 in words is "three hundred nineteen billion, two hundred thirty-eight million, four hundred sixty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 113 136 170 226 340 452 457 565 680 904 914 1130 1828 1921 2260 2285 3656 3842 4520 4570 7684 7769 9091 9140 9605 15368 15538 18182 18280 19210 31076 36364 38420 38845 45455 51641 62152 72728 76840 77690 90910 103282 154547 155380 181820 206564 258205 309094 310760 363640 413128 516410 618188 772735 877897 1027283 1032820 1236376 1545470 1755794 2054566 2065640 3090940 3511588 4109132 4154587 4389485 5136415 6181880 7023176 8218264 8309174 8778970 10272830 16618348 17463811 17557940 20545660 20772935 33236696 34927622 35115880 41091320 41545870 69855244 70627979 83091740 87319055 139710488 141255958 166183480 174638110 282511916 349276220 353139895 469468331 565023832 698552440 706279790 938936662 1412559580 1877873324 2347341655 2825119160 3755746648 4694683310 7980961627 9389366620 15961923254 18778733240 31923846508 39904808135 63847693016 79809616270 159619232540 319238465080