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441354141453144 = 23320707888093683
BaseRepresentation
bin110010001011010001100010…
…0110100100100101101011000
32010212201001011222020100222210
41210112203010310210231120
5430322121240203000034
64202403143222115120
7161651533031311653
oct14426430464445530
92125631158210883
10441354141453144
111186a1270853a57
1241601480b7baa0
1315c3669499994a
147adb923a5489a
153605979ecc8e9
hex19168c4d24b58

441354141453144 has 32 divisors (see below), whose sum is σ = 1103438640496320. Its totient is φ = 147110942235936.

The previous prime is 441354141453053. The next prime is 441354141453221.

441354141453144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441354141453093 and 441354141453102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443549874 + ... + 444543809.

It is an arithmetic number, because the mean of its divisors is an integer number (34482457515510).

Almost surely, 2441354141453144 is an apocalyptic number.

It is an amenable number.

441354141453144 is an abundant number, since it is smaller than the sum of its proper divisors (662084499043176).

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

441354141453144 is a wasteful number, since it uses less digits than its factorization.

441354141453144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888114399 (or 888114395 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

The spelling of 441354141453144 in words is "four hundred forty-one trillion, three hundred fifty-four billion, one hundred forty-one million, four hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 20707 41414 62121 82828 124242 165656 248484 496968 888093683 1776187366 2664281049 3552374732 5328562098 7104749464 10657124196 21314248392 18389755893881 36779511787762 55169267681643 73559023575524 110338535363286 147118047151048 220677070726572 441354141453144