Search a number
-
+
144201023403444 = 223371098911735739
BaseRepresentation
bin100000110010011001101010…
…110001101011010110110100
3200220120111001020221012122000
4200302121222301223112310
5122400042143442402234
61230405011410135300
742242115534032550
oct4062315261532664
9626514036835560
10144201023403444
1141a46346442187
121420b15ab81530
13626013786aa67
14278751c5cc860
1511a0eed6c1899
hex83266ac6b5b4

144201023403444 has 96 divisors (see below), whose sum is σ = 427266425779200. Its totient is φ = 41199893745120.

The previous prime is 144201023403419. The next prime is 144201023403497. The reversal of 144201023403444 is 444304320102441.

144201023403444 is a `hidden beast` number, since 1 + 4 + 4 + 201 + 0 + 2 + 3 + 4 + 0 + 3 + 444 = 666.

It is a super-2 number, since 2×1442010234034442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144201023403399 and 144201023403408.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 82209727 + ... + 83945465.

It is an arithmetic number, because the mean of its divisors is an integer number (4450691935200).

Almost surely, 2144201023403444 is an apocalyptic number.

144201023403444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144201023403444 is an abundant number, since it is smaller than the sum of its proper divisors (283065402375756).

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

144201023403444 is a wasteful number, since it uses less digits than its factorization.

144201023403444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845650 (or 1845642 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 144201023403444 its reverse (444304320102441), we get a palindrome (588505343505885).

The spelling of 144201023403444 in words is "one hundred forty-four trillion, two hundred one billion, twenty-three million, four hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 109891 219782 329673 439564 659346 769237 989019 1318692 1538474 1735739 1978038 2307711 2967057 3076948 3471478 3956076 4615422 5207217 5934114 6923133 6942956 9230844 10414434 11868228 12150173 13846266 15621651 20769399 20828868 24300346 27692532 31243302 36450519 41538798 46864953 48600692 62486604 72901038 83077596 93729906 109351557 145802076 187459812 218703114 328054671 437406228 656109342 1312218684 190742094449 381484188898 572226283347 762968377796 1144452566694 1335194661143 1716678850041 2288905133388 2670389322286 3433357700082 4005583983429 5150036550123 5340778644572 6866715400164 8011167966858 10300073100246 12016751950287 16022335933716 20600146200492 24033503900574 36050255850861 48067007801148 72100511701722 144201023403444