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4244242101021 = 3213613136313011
BaseRepresentation
bin111101110000110000100…
…010101111001100011101
3120000202010112021222112200
4331300300202233030131
51024014201434213041
613005440005522113
7615431163420306
oct75606042571435
916022115258480
104244242101021
111396a7802311a
12586690113339
1324a2cbcc6ac0
141095cb1637ad
15756085601b6
hex3dc308af31d

4244242101021 has 96 divisors (see below), whose sum is σ = 6744733142784. Its totient is φ = 2555908992000.

The previous prime is 4244242101007. The next prime is 4244242101067. The reversal of 4244242101021 is 1201012424424.

4244242101021 is a `hidden beast` number, since 4 + 2 + 4 + 424 + 210 + 1 + 0 + 21 = 666.

It is not a de Polignac number, because 4244242101021 - 226 = 4244174992157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244242101091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1409577406 + ... + 1409580416.

It is an arithmetic number, because the mean of its divisors is an integer number (70257636904).

Almost surely, 24244242101021 is an apocalyptic number.

It is an amenable number.

4244242101021 is a deficient number, since it is larger than the sum of its proper divisors (2500491041763).

4244242101021 is a wasteful number, since it uses less digits than its factorization.

4244242101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4244242101021 its reverse (1201012424424), we get a palindrome (5445254525445).

The spelling of 4244242101021 in words is "four trillion, two hundred forty-four billion, two hundred forty-two million, one hundred one thousand, twenty-one".

Divisors: 1 3 9 13 39 61 117 183 313 549 631 793 939 1893 2379 2817 3011 4069 5679 7137 8203 9033 12207 19093 24609 27099 36621 38491 39143 57279 73827 115473 117429 171837 183671 197503 248209 346419 352287 500383 551013 592509 744627 942443 1501149 1653039 1777527 1899941 2233881 2387723 2567539 2827329 4503447 5699823 7163169 7702617 8481987 12047683 12251759 17099469 21489507 23107851 24699233 36143049 36755277 57489023 74097699 108429147 110265831 115896401 156619879 172467069 222293097 347689203 469859637 517401207 594681533 747357299 1043067609 1409578911 1506653213 1784044599 2242071897 4519959639 5352133797 6726215691 7730859929 13559878917 23192579787 36275573513 69577739361 108826720539 326480161617 471582455669 1414747367007 4244242101021