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144311230023040 = 275267199843889
BaseRepresentation
bin100000110100000000010011…
…100110100100010110000000
3200220222000111202010112210201
4200310000103212210112000
5122403343344341214130
61230531355220334544
742253066544610523
oct4064002346442600
9626860452115721
10144311230023040
1141a8905a186693
1214228596b44454
13626a64bacbc82
14278c9b4dd8bba
1511a3ced9cebca
hex8340139a4580

144311230023040 has 64 divisors (see below), whose sum is σ = 344995734240000. Its totient is φ = 57724207570944.

The previous prime is 144311230022977. The next prime is 144311230023067. The reversal of 144311230023040 is 40320032113441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1443112300230402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170585416 + ... + 171429304.

It is an arithmetic number, because the mean of its divisors is an integer number (5390558347500).

Almost surely, 2144311230023040 is an apocalyptic number.

144311230023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144311230023040 is an abundant number, since it is smaller than the sum of its proper divisors (200684504216960).

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

144311230023040 is an equidigital number, since it uses as much as digits as its factorization.

144311230023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111107 (or 1111095 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 144311230023040 its reverse (40320032113441), we get a palindrome (184631262136481).

The spelling of 144311230023040 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred thirty million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 267199 534398 843889 1068796 1335995 1687778 2137592 2671990 3375556 4219445 4275184 5343980 6751112 8438890 8550368 10687960 13502224 16877780 17100736 21375920 27004448 33755560 34201472 42751840 54008896 67511120 85503680 108017792 135022240 171007360 270044480 540088960 225486296911 450972593822 901945187644 1127431484555 1803890375288 2254862969110 3607780750576 4509725938220 7215561501152 9019451876440 14431123002304 18038903752880 28862246004608 36077807505760 72155615011520 144311230023040