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144243055210332 = 223132373919022671
BaseRepresentation
bin100000110011000000110100…
…000100010010111101011100
3200220201111112112012020012110
4200303000310010102331130
5122401234234113212312
61230440202245434020
742245134242350601
oct4063006404227534
9626644475166173
10144243055210332
1141a62155291871
121421732b40b910
1362640a5852c00
1427895889746a8
1511a215d75043c
hex833034112f5c

144243055210332 has 72 divisors (see below), whose sum is σ = 364545920766720. Its totient is φ = 44370606047040.

The previous prime is 144243055210291. The next prime is 144243055210351. The reversal of 144243055210332 is 233012550342441.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1928644 + ... + 17094027.

Almost surely, 2144243055210332 is an apocalyptic number.

144243055210332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144243055210332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182272960383360).

144243055210332 is an abundant number, since it is smaller than the sum of its proper divisors (220302865556388).

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

144243055210332 is a wasteful number, since it uses less digits than its factorization.

144243055210332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19026443 (or 19026428 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 144243055210332 in words is "one hundred forty-four trillion, two hundred forty-three billion, fifty-five million, two hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028 3739 7478 11217 14956 22434 44868 48607 97214 145821 194428 291642 583284 631891 1263782 1895673 2527564 3791346 7582692 19022671 38045342 57068013 76090684 114136026 228272052 247294723 494589446 741884169 989178892 1483768338 2967536676 3214831399 6429662798 9644494197 12859325596 19288988394 38577976788 71125766869 142251533738 213377300607 284503067476 426754601214 853509202428 924634969297 1849269938594 2773904907891 3698539877188 5547809815782 11095619631564 12020254600861 24040509201722 36060763802583 48081018403444 72121527605166 144243055210332