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32441100114423 = 37111337622146933
BaseRepresentation
bin1110110000001010010000…
…01111111001100111110111
311020212100011001020010020010
413120011020033321213313
513223003333112130143
6152555122522311303
76555535463116620
oct730051017714767
9136770131203203
1032441100114423
11a378214305550
12377b376958533
13151424b284c90
1480222c738a47
153b3d02a41a33
hex1d81483f99f7

32441100114423 has 128 divisors (see below), whose sum is σ = 59656865716224. Its totient is φ = 15132979353600.

The previous prime is 32441100114421. The next prime is 32441100114443.

It is a happy number.

32441100114423 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32441100114423 - 21 = 32441100114421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32441100114421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 691198065 + ... + 691244997.

It is an arithmetic number, because the mean of its divisors is an integer number (466069263408).

Almost surely, 232441100114423 is an apocalyptic number.

32441100114423 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

32441100114423 is a deficient number, since it is larger than the sum of its proper divisors (27215765601801).

32441100114423 is a wasteful number, since it uses less digits than its factorization.

32441100114423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53225.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 32441100 and 114423, that added together give a palindrome (32555523).

The spelling of 32441100114423 in words is "thirty-two trillion, four hundred forty-one billion, one hundred million, one hundred fourteen thousand, four hundred twenty-three".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 6221 8547 10101 15873 18663 37037 43547 46933 68431 80873 111111 130641 140799 205293 230177 242619 328531 479017 516263 566111 610129 690531 889603 985593 1437051 1548789 1611239 1698333 1736521 1830387 2531947 2668809 2992301 3613841 4270903 4833717 5209563 6227221 6711419 7595841 8976903 10841523 12155647 12812709 17723629 18681663 19101731 20134257 20946107 22574773 32915311 36466941 46979933 53170887 57305193 62838321 67724319 98745933 133712117 140939799 158023411 230407177 248322503 291970193 401136351 474070233 691221531 744967509 875910579 1738257521 2043791351 3211672123 3795612509 5214772563 6131374053 9635016369 10802897141 11386837527 22481704861 26569287563 32408691423 41751737599 67445114583 75620279987 79707862689 118831868551 125255212797 140437662833 226860839961 292262163193 356495605653 421312988499 831823079857 876786489579 983063639831 1544814291163 2495469239571 2949190919493 4634442873489 10813700038141 32441100114423