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144445206040 = 23543973911131
BaseRepresentation
bin1000011010000110011…
…0101110111000011000
3111210211122010202001221
42012201212232320120
54331310433043130
6150205054021424
713302325664452
oct2064146567030
9453748122057
10144445206040
115629360a243
1223bb24a7874
131080c7c2325
146dc3b532d2
153b560d987a
hex21a19aee18

144445206040 has 64 divisors (see below), whose sum is σ = 326212128000. Its totient is φ = 57563291520.

The previous prime is 144445206011. The next prime is 144445206047. The reversal of 144445206040 is 40602544441.

It is a junction number, because it is equal to n+sod(n) for n = 144445205987 and 144445206005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144445206047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12971275 + ... + 12982405.

It is an arithmetic number, because the mean of its divisors is an integer number (5097064500).

Almost surely, 2144445206040 is an apocalyptic number.

144445206040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144445206040 is an abundant number, since it is smaller than the sum of its proper divisors (181766921960).

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

144445206040 is a wasteful number, since it uses less digits than its factorization.

144445206040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12320 (or 12316 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

The spelling of 144445206040 in words is "one hundred forty-four billion, four hundred forty-five million, two hundred six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 439 739 878 1478 1756 2195 2956 3512 3695 4390 5912 7390 8780 11131 14780 17560 22262 29560 44524 55655 89048 111310 222620 324421 445240 648842 1297684 1622105 2595368 3244210 4886509 6488420 8225809 9773018 12976840 16451618 19546036 24432545 32903236 39092072 41129045 48865090 65806472 82258090 97730180 164516180 195460360 329032360 3611130151 7222260302 14444520604 18055650755 28889041208 36111301510 72222603020 144445206040