Search a number
-
+
44225331102414 = 23271141778258739
BaseRepresentation
bin10100000111001000000110…
…01001101000001011001110
312210120220022100211201200100
422003210003021220023032
521244041434230234124
6234020500413511530
712213113634604320
oct1203440311501316
9183526270751610
1044225331102414
1113100948501020
124b631b9aa25a6
131b8a57a6b6357
14acc735c31610
1551a607e231c9
hex2839032682ce

44225331102414 has 96 divisors (see below), whose sum is σ = 122379630347520. Its totient is φ = 11206925827200.

The previous prime is 44225331102413. The next prime is 44225331102437. The reversal of 44225331102414 is 41420113352244.

44225331102414 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 533 + 1 + 102 + 4 + 14 = 666.

It is a super-2 number, since 2×442253311024142 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44225331102413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389072544 + ... + 389186195.

It is an arithmetic number, because the mean of its divisors is an integer number (1274787816120).

Almost surely, 244225331102414 is an apocalyptic number.

44225331102414 is an abundant number, since it is smaller than the sum of its proper divisors (78154299245106).

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

44225331102414 is a wasteful number, since it uses less digits than its factorization.

44225331102414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778258806 (or 778258803 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 44225331102414 its reverse (41420113352244), we get a palindrome (85645444454658).

The spelling of 44225331102414 in words is "forty-four trillion, two hundred twenty-five billion, three hundred thirty-one million, one hundred two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 41 42 63 66 77 82 99 123 126 154 198 231 246 287 369 451 462 574 693 738 861 902 1353 1386 1722 2583 2706 3157 4059 5166 6314 8118 9471 18942 28413 56826 778258739 1556517478 2334776217 4669552434 5447811173 7004328651 8560846129 10895622346 14008657302 16343433519 17121692258 25682538387 31908608299 32686867038 49030300557 51365076774 59925922903 63817216598 77047615161 95725824897 98060601114 119851845806 154095230322 179777768709 191451649794 223360258093 287177474691 350994691289 359555537418 446720516186 539333306127 574354949382 670080774279 701989382578 1052984073867 1078666612254 1340161548558 2010242322837 2105968147734 2456962839023 3158952221601 4020484645674 4913925678046 6317904443202 7370888517069 14741777034138 22112665551207 44225331102414