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12440402243440 = 2454397101369133
BaseRepresentation
bin1011010100001000000111…
…0000011010111101110000
31122001021212000121002112221
42311002001300122331300
53112310420433242230
642243013014330424
72422534523221513
oct265020160327560
948037760532487
1012440402243440
113a66a43822736
12148b049659a14
136c3181528c42
14310193938d7a
1516890b7a927a
hexb5081c1af70

12440402243440 has 160 divisors (see below), whose sum is σ = 30197842589376. Its totient is φ = 4762688716800.

The previous prime is 12440402243431. The next prime is 12440402243441. The reversal of 12440402243440 is 4434220404421.

It is a junction number, because it is equal to n+sod(n) for n = 12440402243396 and 12440402243405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12440402243441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33517114 + ... + 33886246.

Almost surely, 212440402243440 is an apocalyptic number.

12440402243440 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 12440402243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15098921294688).

12440402243440 is an abundant number, since it is smaller than the sum of its proper divisors (17757440345936).

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

12440402243440 is a wasteful number, since it uses less digits than its factorization.

12440402243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369387 (or 369381 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 12440402243440 its reverse (4434220404421), we get a palindrome (16874622647861).

The spelling of 12440402243440 in words is "twelve trillion, four hundred forty billion, four hundred two million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 97 101 172 194 202 215 344 388 404 430 485 505 688 776 808 860 970 1010 1552 1616 1720 1940 2020 3440 3880 4040 4171 4343 7760 8080 8342 8686 9797 16684 17372 19594 20855 21715 33368 34744 39188 41710 43430 48985 66736 69488 78376 83420 86860 97970 156752 166840 173720 195940 333680 347440 369133 391880 421271 738266 783760 842542 1476532 1685084 1845665 2106355 2953064 3370168 3691330 4212710 5906128 6740336 7382660 8425420 14765320 15872719 16850840 29530640 31745438 33701680 35805901 37282433 63490876 71611802 74564866 79363595 126981752 143223604 149129732 158727190 179029505 186412165 253963504 286447208 298259464 317454380 358059010 372824330 572894416 596518928 634908760 716118020 745648660 1269817520 1432236040 1491297320 1539653743 1603144619 2864472080 2982594640 3079307486 3206289238 3616396001 6158614972 6412578476 7232792002 7698268715 8015723095 12317229944 12825156952 14465584004 15396537430 16031446190 18081980005 24634459888 25650313904 28931168008 30793074860 32062892380 36163960010 57862336016 61586149720 64125784760 72327920020 123172299440 128251569520 144655840040 155505028043 289311680080 311010056086 622020112172 777525140215 1244040224344 1555050280430 2488080448688 3110100560860 6220201121720 12440402243440