Search a number
-
+
4223102324144 = 24111923187129347
BaseRepresentation
bin111101011101000100100…
…000111000110110110000
3112221201120021002001100112
4331131010200320312300
51023142403143333034
612552022203040452
7614052261321614
oct75350440706660
915851507061315
104223102324144
11138900a190940
12582570510128
132483104523a2
14108583747344
1574cbc7027ce
hex3d744838db0

4223102324144 has 160 divisors (see below), whose sum is σ = 9809989263360. Its totient is φ = 1738503993600.

The previous prime is 4223102324113. The next prime is 4223102324171. The reversal of 4223102324144 is 4414232013224.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4223102324144.

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, 143887679 + ... + 143917025.

It is an arithmetic number, because the mean of its divisors is an integer number (61312432896).

Almost surely, 24223102324144 is an apocalyptic number.

4223102324144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4223102324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904994631680).

4223102324144 is an abundant number, since it is smaller than the sum of its proper divisors (5586886939216).

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

4223102324144 is a wasteful number, since it uses less digits than its factorization.

4223102324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31279 (or 31273 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4223102324144 its reverse (4414232013224), we get a palindrome (8637334337368).

The spelling of 4223102324144 in words is "four trillion, two hundred twenty-three billion, one hundred two million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 23 38 44 46 76 88 92 152 176 184 209 253 304 368 418 437 506 836 874 1012 1672 1748 1871 2024 3344 3496 3742 4048 4807 6992 7484 9614 14968 19228 20581 29347 29936 35549 38456 41162 43033 58694 71098 76912 82324 86066 117388 142196 164648 172132 234776 284392 322817 329296 344264 391039 469552 473363 557593 568784 645634 674981 688528 782078 817627 946726 1115186 1291268 1349962 1564156 1635254 1893452 2230372 2582536 2699924 3128312 3270508 3786904 4460744 5165072 5399848 6133523 6256624 6541016 7424791 7573808 8921488 8993897 10799696 12267046 12824639 13082032 14849582 17987794 24534092 25649278 29699164 35975588 49068184 51298556 54908237 59398328 71951176 98136368 102597112 109816474 118796656 141071029 143902352 205194224 219632948 282142058 439265896 564284116 603990607 878531792 1043256503 1128568232 1207981214 1262889451 2086513006 2257136464 2415962428 2525778902 4173026012 4831924856 5051557804 8346052024 9663849712 10103115608 11475821533 13891783961 16692104048 20206231216 22951643066 23994899569 27783567922 45903286132 47989799138 55567135844 91806572264 95979598276 111134271688 183613144528 191959196552 222268543376 263943895259 383918393104 527887790518 1055775581036 2111551162072 4223102324144