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144104430423312 = 243211317839496439
BaseRepresentation
bin100000110000111111101101…
…011000101100110100010000
3200220020020201112012102000100
4200300333231120230310100
5122342001333142021222
61230252354511252400
742232126060166562
oct4060775530546420
9626206645172010
10144104430423312
1141a093891a7587
12141b44a221a100
136253cb2b71408
142782997c45332
15119d7486294ac
hex830fed62cd10

144104430423312 has 120 divisors (see below), whose sum is σ = 406884845203200. Its totient is φ = 47606958572544.

The previous prime is 144104430423257. The next prime is 144104430423323. The reversal of 144104430423312 is 213324034401441.

144104430423312 is a `hidden beast` number, since 1 + 4 + 4 + 10 + 4 + 4 + 304 + 2 + 331 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290027989 + ... + 290524427.

It is an arithmetic number, because the mean of its divisors is an integer number (3390707043360).

Almost surely, 2144104430423312 is an apocalyptic number.

144104430423312 is a gapful number since it is divisible by the number (12) 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 144104430423312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203442422601600).

144104430423312 is an abundant number, since it is smaller than the sum of its proper divisors (262780414779888).

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

144104430423312 is a wasteful number, since it uses less digits than its factorization.

144104430423312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514405 (or 514396 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 144104430423312 its reverse (213324034401441), we get a palindrome (357428464824753).

The spelling of 144104430423312 in words is "one hundred forty-four trillion, one hundred four billion, four hundred thirty million, four hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 16272 17839 35678 53517 71356 107034 142712 160551 214068 285424 321102 428136 496439 642204 856272 992878 1284408 1489317 1985756 2015807 2568816 2978634 3971512 4031614 4467951 5957268 6047421 7943024 8063228 8935902 11914536 12094842 16126456 17871804 18142263 23829072 24189684 32252912 35743608 36284526 48379368 56097607 71487216 72569052 96758736 112195214 145138104 168292821 224390428 290276208 336585642 448780856 504878463 673171284 897561712 1009756926 1346342568 2019513852 2692685136 4039027704 8078055408 8855975321 17711950642 26567925963 35423901284 53135851926 70847802568 79703777889 106271703852 141695605136 159407555778 212543407704 318815111556 425086815408 637630223112 1000725211273 1275260446224 2001450422546 3002175633819 4002900845092 6004351267638 8005801690184 9006526901457 12008702535276 16011603380368 18013053802914 24017405070552 36026107605828 48034810141104 72052215211656 144104430423312