Search a number
-
+
21744044277240 = 2335979967187423
BaseRepresentation
bin1001111000110101011100…
…00010001111110111111000
32211222201011211110102210010
410330122232002033313320
510322223300313332430
6114125024231421520
74402645454542665
oct474325602176770
984881154412703
1021744044277240
116a23663145a4a
1225321845248a0
13c195ba923acc
145525bb334a6c
1527a92c25acb0
hex13c6ae08fdf8

21744044277240 has 128 divisors (see below), whose sum is σ = 65911593000960. Its totient is φ = 5738027986944.

The previous prime is 21744044277203. The next prime is 21744044277253. The reversal of 21744044277240 is 4277244044712.

It is a self number, because there is not a number n which added to its sum of digits gives 21744044277240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115922169 + ... + 116109591.

It is an arithmetic number, because the mean of its divisors is an integer number (514934320320).

Almost surely, 221744044277240 is an apocalyptic number.

21744044277240 is a gapful number since it is divisible by the number (20) 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 21744044277240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32955796500480).

21744044277240 is an abundant number, since it is smaller than the sum of its proper divisors (44167548723720).

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

21744044277240 is a wasteful number, since it uses less digits than its factorization.

21744044277240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197501 (or 197497 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 48.

The spelling of 21744044277240 in words is "twenty-one trillion, seven hundred forty-four billion, forty-four million, two hundred seventy-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1940 2328 2910 3880 5820 9967 11640 19934 29901 39868 49835 59802 79736 99670 119604 149505 187423 199340 239208 299010 374846 398680 562269 598020 749692 937115 966799 1124538 1196040 1499384 1874230 1933598 2249076 2811345 2900397 3748460 3867196 4498152 4833995 5622690 5800794 7496920 7734392 9667990 11245380 11601588 14501985 18180031 19335980 22490760 23203176 29003970 36360062 38671960 54540093 58007940 72720124 90900155 109080186 116015880 145440248 181800310 218160372 272700465 363600620 436320744 545400930 727201240 1090801860 1868045041 2181603720 3736090082 5604135123 7472180164 9340225205 11208270246 14944360328 18680450410 22416540492 28020675615 37360900820 44833080984 56041351230 74721801640 112082702460 181200368977 224165404920 362400737954 543601106931 724801475908 906001844885 1087202213862 1449602951816 1812003689770 2174404427724 2718005534655 3624007379540 4348808855448 5436011069310 7248014759080 10872022138620 21744044277240