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144412422234330 = 23523475697826099
BaseRepresentation
bin100000110101011110100011…
…001000001110000011011010
3200221022200201000010111111010
4200311132203020032003122
5122412023120042444310
61231050052332514350
742263311306324635
oct4065364310160332
9627280630114433
10144412422234330
1142017a67588778
121424411801b9b6
136277057606983
14279385451cc1c
1511a6772717320
hex8357a320e0da

144412422234330 has 128 divisors (see below), whose sum is σ = 370002981888000. Its totient is φ = 35988530783744.

The previous prime is 144412422234323. The next prime is 144412422234349. The reversal of 144412422234330 is 33432224214441.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14539621 + ... + 22365719.

It is an arithmetic number, because the mean of its divisors is an integer number (2890648296000).

Almost surely, 2144412422234330 is an apocalyptic number.

144412422234330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144412422234330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185001490944000).

144412422234330 is an abundant number, since it is smaller than the sum of its proper divisors (225590559653670).

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

144412422234330 is a wasteful number, since it uses less digits than its factorization.

144412422234330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7826748.

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 144412422234330 its reverse (33432224214441), we get a palindrome (177844646448771).

The spelling of 144412422234330 in words is "one hundred forty-four trillion, four hundred twelve billion, four hundred twenty-two million, two hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 47 69 94 115 138 141 230 235 282 345 470 569 690 705 1081 1138 1410 1707 2162 2845 3243 3414 5405 5690 6486 8535 10810 13087 16215 17070 26174 26743 32430 39261 53486 65435 78522 80229 130870 133715 160458 196305 267430 392610 401145 615089 802290 1230178 1845267 3075445 3690534 6150890 7826099 9226335 15652198 18452670 23478297 39130495 46956594 78260990 117391485 180000277 234782970 360000554 367826653 540000831 735653306 900001385 1080001662 1103479959 1800002770 1839133265 2206959918 2700004155 3678266530 4453050331 5400008310 5517399795 8460013019 8906100662 11034799590 13359150993 16920026038 22265251655 25380039057 26718301986 42300065095 44530503310 50760078114 66795754965 84600130190 102420157613 126900195285 133591509930 204840315226 209293365557 253800390570 307260472839 418586731114 512100788065 614520945678 627880096671 1024201576130 1046466827785 1255760193342 1536302364195 2092933655570 3072604728390 3139400483355 4813747407811 6278800966710 9627494815622 14441242223433 24068737039055 28882484446866 48137474078110 72206211117165 144412422234330