Search a number
-
+
144444333020403 = 31321812861550169
BaseRepresentation
bin100000110101111100010001…
…001010001101010011110011
3200221102202001220220101120210
4200311330101022031103303
5122413033443223123103
61231112451023435203
742265521140455443
oct4065742112152363
9627382056811523
10144444333020403
114202a552374649
121424a342a55b03
13627a07180ac00
14279520063c123
1511a74dde7ee03
hex835f1128d4f3

144444333020403 has 48 divisors (see below), whose sum is σ = 209772717204960. Its totient is φ = 88366663756800.

The previous prime is 144444333020399. The next prime is 144444333020431. The reversal of 144444333020403 is 304020333444441.

It is not a de Polignac number, because 144444333020403 - 22 = 144444333020399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (144444333022403) 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 47 ways as a sum of consecutive naturals, for example, 262270303 + ... + 262820471.

It is an arithmetic number, because the mean of its divisors is an integer number (4370264941770).

Almost surely, 2144444333020403 is an apocalyptic number.

144444333020403 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

144444333020403 is a deficient number, since it is larger than the sum of its proper divisors (65328384184557).

144444333020403 is a wasteful number, since it uses less digits than its factorization.

144444333020403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553240 (or 553227 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 39.

Adding to 144444333020403 its reverse (304020333444441), we get a palindrome (448464666464844).

The spelling of 144444333020403 in words is "one hundred forty-four trillion, four hundred forty-four billion, three hundred thirty-three million, twenty thousand, four hundred three".

Divisors: 1 3 13 39 169 181 507 543 2353 2861 7059 8583 30589 37193 91767 111579 483509 517841 550169 1450527 1553523 1650507 6731933 7152197 20195799 21456591 87515129 92978561 99580589 262545387 278935683 298741767 1294547657 1574033509 3883642971 4722100527 16829119541 20462435617 50487358623 61387306851 266011663021 284900065129 798034989063 854700195387 3703700846677 11111102540031 48148111006801 144444333020403