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144320342324022 = 232192511681232291
BaseRepresentation
bin100000110100001000110010…
…101111001111001100110110
3200220222220000210112101210200
4200310020302233033030312
5122404021030113332042
61230535503332501330
742253541423105634
oct4064106257171466
9626886023471720
10144320342324022
1141a91a05900247
121422a2ba77a846
13626b47190ba47
14278d1db2c4354
1511a4183990c4c
hex834232bcf336

144320342324022 has 48 divisors (see below), whose sum is σ = 330463019315520. Its totient is φ = 45393271830000.

The previous prime is 144320342323999. The next prime is 144320342324029. The reversal of 144320342324022 is 220423243023441.

144320342324022 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 203 + 42 + 3 + 2 + 402 + 2 = 666.

It is a super-2 number, since 2×1443203423240222 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144320342324029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840530304 + ... + 840701987.

It is an arithmetic number, because the mean of its divisors is an integer number (6884646235740).

Almost surely, 2144320342324022 is an apocalyptic number.

144320342324022 is an abundant number, since it is smaller than the sum of its proper divisors (186142676991498).

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

144320342324022 is a wasteful number, since it uses less digits than its factorization.

144320342324022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681232569 (or 1681232566 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 144320342324022 its reverse (220423243023441), we get a palindrome (364743585347463).

The spelling of 144320342324022 in words is "one hundred forty-four trillion, three hundred twenty billion, three hundred forty-two million, three hundred twenty-four thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 251 342 502 753 1506 2259 4518 4769 9538 14307 28614 42921 85842 1681232291 3362464582 5043696873 10087393746 15131090619 30262181238 31943413529 63886827058 95830240587 191660481174 287490721761 421989305041 574981443522 843978610082 1265967915123 2531935830246 3797903745369 7595807490738 8017796795779 16035593591558 24053390387337 48106780774674 72160171162011 144320342324022