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144042300021402 = 23231734666375781
BaseRepresentation
bin100000110000000101110110…
…001000000001101010011010
3200220000022100112212222020200
4200300011312020001222122
5122334442112301141102
61230204041421203030
742224466321403566
oct4060056610015232
9626008315788220
10144042300021402
1141994aa6206a92
12141a4442a00476
13624b190c404a3
14277d9824706a6
15119bd0dd5651c
hex830176201a9a

144042300021402 has 96 divisors (see below), whose sum is σ = 326583569335296. Its totient is φ = 45827160825600.

The previous prime is 144042300021313. The next prime is 144042300021511. The reversal of 144042300021402 is 204120003240441.

144042300021402 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 4 + 230 + 0 + 0 + 21 + 402 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1900732752 + ... + 1900808532.

It is an arithmetic number, because the mean of its divisors is an integer number (3401912180576).

Almost surely, 2144042300021402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144042300021402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163291784667648).

144042300021402 is an abundant number, since it is smaller than the sum of its proper divisors (182541269313894).

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

144042300021402 is a wasteful number, since it uses less digits than its factorization.

144042300021402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122556 (or 122553 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 144042300021402 its reverse (204120003240441), we get a palindrome (348162303261843).

The spelling of 144042300021402 in words is "one hundred forty-four trillion, forty-two billion, three hundred million, twenty-one thousand, four hundred two".

Divisors: 1 2 3 6 9 18 31 62 73 93 146 186 219 279 438 558 657 1314 2263 4526 6789 13578 20367 40734 46663 75781 93326 139989 151562 227343 279978 419967 454686 682029 839934 1364058 1446553 2349211 2893106 3406399 4339659 4698422 5532013 6812798 7047633 8679318 10219197 11064026 13018977 14095266 16596039 20438394 21142899 26037954 30657591 33192078 42285798 49788117 61315182 99576234 105598369 171492403 211196738 316795107 342984806 514477209 633590214 950385321 1028954418 1543431627 1900770642 3086863254 3536168803 7072337606 10608506409 21217012818 31825519227 63651038454 109621232893 219242465786 258140322619 328863698679 516280645238 657727397358 774420967857 986591096037 1548841935714 1973182192074 2323262903571 4646525807142 8002350001189 16004700002378 24007050003567 48014100007134 72021150010701 144042300021402