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13224644444060 = 2257233740999769
BaseRepresentation
bin1100000001110001101000…
…1110111111111110011100
31201211021010012122200112022
43000130122032333332130
53213133032434202220
644043152350355312
72533310006022500
oct300343216777634
951737105580468
1013224644444060
1142395a4028535
1215970367bbb38
1374c103960a6a
1433a10d178300
1517e00b498925
hexc071a3bff9c

13224644444060 has 144 divisors (see below), whose sum is σ = 32413002804000. Its totient is φ = 4519143788544.

The previous prime is 13224644444017. The next prime is 13224644444087. The reversal of 13224644444060 is 6044444642231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1353730856 + ... + 1353740624.

It is an arithmetic number, because the mean of its divisors is an integer number (225090297250).

Almost surely, 213224644444060 is an apocalyptic number.

13224644444060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13224644444060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16206501402000).

13224644444060 is an abundant number, since it is smaller than the sum of its proper divisors (19188358359940).

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

13224644444060 is a wasteful number, since it uses less digits than its factorization.

13224644444060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14228 (or 14219 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 44.

The spelling of 13224644444060 in words is "thirteen trillion, two hundred twenty-four billion, six hundred forty-four million, four hundred forty-four thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 337 490 674 980 1348 1685 2359 3370 4099 4718 6740 8198 9436 9769 11795 16396 16513 19538 20495 23590 28693 33026 39076 40990 47180 48845 57386 66052 68383 81980 82565 97690 114772 136766 143465 165130 195380 200851 273532 286930 330260 341915 401702 478681 573860 683830 803404 957362 1004255 1367660 1381363 1914724 2008510 2393405 2762726 3292153 4017020 4786810 5525452 6584306 6906815 9573620 9669541 13168612 13813630 16460765 19339082 23045071 27627260 32921530 38678164 40043131 46090142 48347705 65843060 67686787 80086262 92180284 96695410 115225355 135373574 160172524 161315497 193390820 200215655 230450710 270747148 280301917 322630994 338433935 400431310 460901420 560603834 645261988 676867870 800862620 806577485 1121207668 1353735740 1401509585 1613154970 1962113419 2803019170 3226309940 3924226838 5606038340 7848453676 9810567095 13494535147 19621134190 26989070294 39242268380 53978140588 67472675735 94461746029 134945351470 188923492058 269890702940 377846984116 472308730145 661232222203 944617460290 1322464444406 1889234920580 2644928888812 3306161111015 6612322222030 13224644444060