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144121442323220 = 22531359877738317
BaseRepresentation
bin100000110001001111100011…
…010111111100101100010100
3200220021212122010002110112022
4200301033203113330230110
5122342241203213320340
61230304250535312312
742233300460022445
oct4061174327745424
9626255563073468
10144121442323220
1141a15618a5379a
12141b784b51b698
13625579447008b
14278372d3412cc
15119dde1da23b5
hex8313e35fcb14

144121442323220 has 96 divisors (see below), whose sum is σ = 313645991823360. Its totient is φ = 55570032990720.

The previous prime is 144121442323219. The next prime is 144121442323237. The reversal of 144121442323220 is 22323244121441.

144121442323220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 194833502 + ... + 195571818.

It is an arithmetic number, because the mean of its divisors is an integer number (3267145748160).

Almost surely, 2144121442323220 is an apocalyptic number.

144121442323220 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 144121442323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156822995911680).

144121442323220 is an abundant number, since it is smaller than the sum of its proper divisors (169524549500140).

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

144121442323220 is a wasteful number, since it uses less digits than its factorization.

144121442323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739593 (or 739591 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 144121442323220 its reverse (22323244121441), we get a palindrome (166444686444661).

The spelling of 144121442323220 in words is "one hundred forty-four trillion, one hundred twenty-one billion, four hundred forty-two million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 359 620 718 877 1436 1754 1795 3508 3590 4385 7180 8770 11129 17540 22258 27187 44516 54374 55645 108748 111290 135935 222580 271870 314843 543740 629686 738317 1259372 1476634 1574215 2953268 3148430 3691585 6296860 7383170 9760133 14766340 19520266 22887827 39040532 45775654 48800665 91551308 97601330 114439135 195202660 228878270 265055803 457756540 530111606 647504009 1060223212 1295008018 1325279015 2590016036 2650558030 3237520045 5301116060 6475040090 8216729893 12950080180 16433459786 20072624279 32866919572 40145248558 41083649465 80290497116 82167298930 100363121395 164334597860 200726242790 232453939231 401452485580 464907878462 929815756924 1162269696155 2324539392310 4649078784620 7206072116161 14412144232322 28824288464644 36030360580805 72060721161610 144121442323220