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144330332420010 = 235117340114940889
BaseRepresentation
bin100000110100010010000110…
…001100011011011110101010
3200221000211211000122212011210
4200310102012030123132222
5122404202010044420020
61230544234523133550
742254344120401132
oct4064220614333652
9627024730585153
10144330332420010
1141a96171a70220
12142302283742b6
13626c3a453c249
14278d8a7dc9ac2
1511a456aa443e0
hex83448631b7aa

144330332420010 has 128 divisors (see below), whose sum is σ = 384014818702080. Its totient is φ = 34423805952000.

The previous prime is 144330332419939. The next prime is 144330332420039. The reversal of 144330332420010 is 10024233033441.

It is a happy number.

144330332420010 is digitally balanced in base 3, 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 (30).

It is a self number, because there is not a number n which added to its sum of digits gives 144330332420010.

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, 2189646 + ... + 17130534.

It is an arithmetic number, because the mean of its divisors is an integer number (3000115771110).

Almost surely, 2144330332420010 is an apocalyptic number.

144330332420010 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 144330332420010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192007409351040).

144330332420010 is an abundant number, since it is smaller than the sum of its proper divisors (239684486282070).

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

144330332420010 is a wasteful number, since it uses less digits than its factorization.

144330332420010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14941384.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 144330332420010 its reverse (10024233033441), we get a palindrome (154354565453451).

The spelling of 144330332420010 in words is "one hundred forty-four trillion, three hundred thirty billion, three hundred thirty-two million, four hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 146 165 219 330 365 401 438 730 802 803 1095 1203 1606 2005 2190 2406 2409 4010 4015 4411 4818 6015 8030 8822 12030 12045 13233 22055 24090 26466 29273 44110 58546 66165 87819 132330 146365 175638 292730 322003 439095 644006 878190 966009 1610015 1932018 3220030 4830045 9660090 14940889 29881778 44822667 74704445 89645334 149408890 164349779 224113335 328699558 448226670 493049337 821748895 986098674 1090684897 1643497790 2181369794 2465246685 3272054691 4930493370 5453424485 5991296489 6544109382 10906848970 11982592978 11997533867 16360273455 17973889467 23995067734 29956482445 32720546910 35947778934 35992601601 59912964890 59987669335 65904261379 71985203202 89869447335 119975338670 131808522758 179738894670 179963008005 197712784137 329521306895 359926016010 395425568274 437364643697 659042613790 874729287394 988563920685 1312093931091 1977127841370 2186823218485 2624187862182 4373646436970 4811011080667 6560469655455 9622022161334 13120939310910 14433033242001 24055055403335 28866066484002 48110110806670 72165166210005 144330332420010