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144120442340 = 22574144515641
BaseRepresentation
bin1000011000111000111…
…1110110110111100100
3111210000000001001000202
42012032033312313210
54330124313123330
6150112533130032
713261303355510
oct2061617666744
9453000031022
10144120442340
1156137261496
1223b21789918
131078a433a64
146d92975140
153b37838445
hex218e3f6de4

144120442340 has 96 divisors (see below), whose sum is σ = 354467812608. Its totient is φ = 48188160000.

The previous prime is 144120442339. The next prime is 144120442369. The reversal of 144120442340 is 43244021441.

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, 25545920 + ... + 25551560.

It is an arithmetic number, because the mean of its divisors is an integer number (3692373048).

Almost surely, 2144120442340 is an apocalyptic number.

144120442340 is a gapful number since it is divisible by the number (10) 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 144120442340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177233906304).

144120442340 is an abundant number, since it is smaller than the sum of its proper divisors (210347370268).

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

144120442340 is a wasteful number, since it uses less digits than its factorization.

144120442340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10149 (or 10147 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 144120442340 its reverse (43244021441), we get a palindrome (187364463781).

The spelling of 144120442340 in words is "one hundred forty-four billion, one hundred twenty million, four hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 4451 5641 5740 8902 11282 17804 22255 22564 28205 31157 39487 44510 56410 62314 78974 89020 112820 124628 155785 157948 182491 197435 231281 311570 364982 394870 462562 623140 729964 789740 912455 925124 1156405 1277437 1618967 1824910 2312810 2554874 3237934 3649820 4625620 5109748 6387185 6475868 8094835 12774370 16189670 25108091 25548740 32379340 50216182 100432364 125540455 175756637 251080910 351513274 502161820 703026548 878783185 1029431731 1757566370 2058863462 3515132740 4117726924 5147158655 7206022117 10294317310 14412044234 20588634620 28824088468 36030110585 72060221170 144120442340