Search a number
-
+
244466023130244 = 22334721676361129
BaseRepresentation
bin110111100101011100101110…
…011101111110010010000100
31012001120201112110222122222000
4313211130232131332102010
5224020312403410131434
62223534050212505300
7102331041643545606
oct6745345635762204
91161521473878860
10244466023130244
1170992504928333
12235031a061b230
13a65407c524476
14445230bda5176
151d3e1c7a68b99
hexde572e77e484

244466023130244 has 144 divisors (see below), whose sum is σ = 647622066907200. Its totient is φ = 79748810381952.

The previous prime is 244466023130239. The next prime is 244466023130249. The reversal of 244466023130244 is 442031320664442.

244466023130244 is a `hidden beast` number, since 2 + 4 + 4 + 4 + 6 + 602 + 3 + 1 + 30 + 2 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (244466023130239) and next prime (244466023130249).

It is a self number, because there is not a number n which added to its sum of digits gives 244466023130244.

It is not an unprimeable number, because it can be changed into a prime (244466023130249) 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, 3999151872 + ... + 3999213000.

Almost surely, 2244466023130244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244466023130244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323811033453600).

244466023130244 is an abundant number, since it is smaller than the sum of its proper divisors (403156043776956).

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

244466023130244 is a wasteful number, since it uses less digits than its factorization.

244466023130244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77999 (or 77944 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 45.

Adding to 244466023130244 its reverse (442031320664442), we get a palindrome (686497343794686).

The spelling of 244466023130244 in words is "two hundred forty-four trillion, four hundred sixty-six billion, twenty-three million, one hundred thirty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2209 2538 4418 5076 6627 8836 13254 16763 19881 26508 33526 39762 50289 59643 61129 67052 79524 100578 119286 122258 150867 183387 201156 238572 244516 301734 366774 452601 550161 603468 733548 787861 905202 1100322 1575722 1650483 1810404 2200644 2363583 2873063 3151444 3300966 4727166 5746126 6601932 7090749 8619189 9454332 11492252 14181498 17238378 21272247 25857567 28362996 34476756 37029467 42544494 51715134 74058934 77572701 85088988 103430268 111088401 135033961 148117868 155145402 222176802 270067922 310290804 333265203 405101883 444353604 540135844 666530406 810203766 999795609 1024705427 1215305649 1333060812 1620407532 1999591218 2049410854 2430611298 3074116281 3645916947 3999182436 4098821708 4861222596 6148232562 7291833894 9222348843 12296465124 14583667788 18444697686 27667046529 36889395372 48161155069 55334093058 96322310138 110668186116 144483465207 192644620276 288966930414 433450395621 577933860828 866900791242 1300351186863 1733801582484 2263574288243 2600702373726 4527148576486 5201404747452 6790722864729 9054297152972 13581445729458 20372168594187 27162891458916 40744337188374 61116505782561 81488674376748 122233011565122 244466023130244