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144402213340110 = 2351115110492762533
BaseRepresentation
bin100000110101010101000010…
…101000011000001111001110
3200221021201100112021221100210
4200311111002220120033032
5122411341213103340420
61231041243324503250
742262500314212635
oct4065250250301716
9627251315257323
10144402213340110
11420136a8966410
12142421490aab26
1362760bb569a6b
14279316674051c
1511a63763449e0
hex835542a183ce

144402213340110 has 128 divisors (see below), whose sum is σ = 380937968409600. Its totient is φ = 34741602432000.

The previous prime is 144402213340103. The next prime is 144402213340123. The reversal of 144402213340110 is 11043312204441.

It is a happy number.

144402213340110 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 Curzon number.

It is a congruent number.

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, 50890404 + ... + 53652936.

It is an arithmetic number, because the mean of its divisors is an integer number (2976077878200).

Almost surely, 2144402213340110 is an apocalyptic number.

144402213340110 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 144402213340110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190468984204800).

144402213340110 is an abundant number, since it is smaller than the sum of its proper divisors (236535755069490).

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

144402213340110 is a wasteful number, since it uses less digits than its factorization.

144402213340110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763754.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 144402213340110 its reverse (11043312204441), we get a palindrome (155445525544551).

The spelling of 144402213340110 in words is "one hundred forty-four trillion, four hundred two billion, two hundred thirteen million, three hundred forty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 151 165 302 330 453 755 906 1049 1510 1661 2098 2265 3147 3322 4530 4983 5245 6294 8305 9966 10490 11539 15735 16610 23078 24915 31470 34617 49830 57695 69234 115390 158399 173085 316798 346170 475197 791995 950394 1583990 1742389 2375985 2762533 3484778 4751970 5227167 5525066 8287599 8711945 10454334 13812665 16575198 17423890 26135835 27625330 30387863 41437995 52271670 60775726 82875990 91163589 151939315 182327178 303878630 417142483 455817945 834284966 911635890 1251427449 2085712415 2502854898 2897897117 4171424830 4588567313 5795794234 6257137245 8693691351 9177134626 12514274490 13765701939 14489485585 17387382702 22942836565 27531403878 28978971170 31876868287 43468456755 45885673130 63753736574 68828509695 86936913510 95630604861 137657019390 159384341435 191261209722 318768682870 437582464667 478153024305 875164929334 956306048610 1312747394001 2187912323335 2625494788002 4375824646670 4813407111337 6563736970005 9626814222674 13127473940010 14440221334011 24067035556685 28880442668022 48134071113370 72201106670055 144402213340110