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244216432341 = 32719204023753
BaseRepresentation
bin1110001101110001101…
…1110000011011010101
3212100100212022011210200
43203130123300123111
513000123401313331
6304105205411113
723433624265320
oct3433433603325
9770325264720
10244216432341
119463189a272
123b3b7709a99
131a04cab19cb
14bb6a6617b7
1565451d45e6
hex38dc6f06d5

244216432341 has 24 divisors (see below), whose sum is σ = 424369408320. Its totient is φ = 132207391296.

The previous prime is 244216432333. The next prime is 244216432351. The reversal of 244216432341 is 143234612442.

244216432341 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 1 + 643 + 2 + 3 + 4 + 1 = 666.

It is not a de Polignac number, because 244216432341 - 23 = 244216432333 is a prime.

It is a super-3 number, since 3×2442164323413 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 244216432296 and 244216432305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244216432301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102010680 + ... + 102013073.

It is an arithmetic number, because the mean of its divisors is an integer number (17682058680).

Almost surely, 2244216432341 is an apocalyptic number.

244216432341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

244216432341 is a deficient number, since it is larger than the sum of its proper divisors (180152975979).

244216432341 is a wasteful number, since it uses less digits than its factorization.

244216432341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204023785 (or 204023782 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The spelling of 244216432341 in words is "two hundred forty-four billion, two hundred sixteen million, four hundred thirty-two thousand, three hundred forty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 204023753 612071259 1428166271 1836213777 3876451307 4284498813 11629353921 12853496439 27135159149 34888061763 81405477447 244216432341