Search a number
-
+
13044041032240 = 2453747181518017
BaseRepresentation
bin1011110111010000110101…
…1011101010001000110000
31201011222221122110202212201
42331310031123222020300
53202203144001012430
643424203312432544
72514254332243321
oct275641533521060
951158848422781
1013044041032240
114179a461180a9
121568032b48754
13738080cc79ca
14331499188448
1517948aceb8ca
hexbdd0d6ea230

13044041032240 has 160 divisors (see below), whose sum is σ = 31985564292864. Its totient is φ = 4941126696960.

The previous prime is 13044041032223. The next prime is 13044041032349. The reversal of 13044041032240 is 4223014044031.

13044041032240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13044041032199 and 13044041032208.

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, 24921712 + ... + 25439728.

Almost surely, 213044041032240 is an apocalyptic number.

13044041032240 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 13044041032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15992782146432).

13044041032240 is an abundant number, since it is smaller than the sum of its proper divisors (18941523260624).

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

13044041032240 is a wasteful number, since it uses less digits than its factorization.

13044041032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518295 (or 518289 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 13044041032240 its reverse (4223014044031), we get a palindrome (17267055076271).

The spelling of 13044041032240 in words is "thirteen trillion, forty-four billion, forty-one million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 47 74 80 94 148 181 185 188 235 296 362 370 376 470 592 724 740 752 905 940 1448 1480 1739 1810 1880 2896 2960 3478 3620 3760 6697 6956 7240 8507 8695 13394 13912 14480 17014 17390 26788 27824 33485 34028 34780 42535 53576 66970 68056 69560 85070 107152 133940 136112 139120 170140 267880 314759 340280 518017 535760 629518 680560 1036034 1259036 1573795 2072068 2518072 2590085 3147590 4144136 5036144 5180170 6295180 8288272 10360340 12590360 19166629 20720680 24346799 25180720 38333258 41441360 48693598 76666516 93761077 95833145 97387196 121733995 153333032 187522154 191666290 194774392 243467990 306666064 375044308 383332580 389548784 468805385 486935980 750088616 766665160 900831563 937610770 973871960 1500177232 1533330320 1801663126 1875221540 1947743920 3469159849 3603326252 3750443080 4406770619 4504157815 6938319698 7206652504 7500886160 8813541238 9008315630 13876639396 14413305008 17345799245 17627082476 18016631260 22033853095 27753278792 34691598490 35254164952 36033262520 44067706190 55506557584 69383196980 70508329904 72066525040 88135412380 138766393960 163050512903 176270824760 277532787920 326101025806 352541649520 652202051612 815252564515 1304404103224 1630505129030 2608808206448 3261010258060 6522020516120 13044041032240