Search a number
-
+
112223403241440 = 2535832816852491
BaseRepresentation
bin11001100001000100001100…
…000101011110111111100000
3112201100110012221000011102120
4121201010030011132333200
5104202132012212211230
61034402415243344240
732431605356323341
oct3141041405367740
9481313187004376
10112223403241440
1132837750520927
1210705792822080
134a8081061b94a
141d9d8dab6a0c8
15ce92c5578310
hex66110c15efe0

112223403241440 has 96 divisors (see below), whose sum is σ = 357762801303936. Its totient is φ = 29565683735040.

The previous prime is 112223403241343. The next prime is 112223403241483. The reversal of 112223403241440 is 44142304322211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×1122234032414404 (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1408386406 + ... + 1408466085.

It is an arithmetic number, because the mean of its divisors is an integer number (3726695846916).

Almost surely, 2112223403241440 is an apocalyptic number.

112223403241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112223403241440 is an abundant number, since it is smaller than the sum of its proper divisors (245539398062496).

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

112223403241440 is a wasteful number, since it uses less digits than its factorization.

112223403241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816852592 (or 2816852584 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 112223403241440 its reverse (44142304322211), we get a palindrome (156365707563651).

The spelling of 112223403241440 in words is "one hundred twelve trillion, two hundred twenty-three billion, four hundred three million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 83 96 120 160 166 240 249 332 415 480 498 664 830 996 1245 1328 1660 1992 2490 2656 3320 3984 4980 6640 7968 9960 13280 19920 39840 2816852491 5633704982 8450557473 11267409964 14084262455 16901114946 22534819928 28168524910 33802229892 42252787365 45069639856 56337049820 67604459784 84505574730 90139279712 112674099640 135208919568 169011149460 225348199280 233798756753 270417839136 338022298920 450696398560 467597513506 676044597840 701396270259 935195027012 1168993783765 1352089195680 1402792540518 1870390054024 2337987567530 2805585081036 3506981351295 3740780108048 4675975135060 5611170162072 7013962702590 7481560216096 9351950270120 11222340324144 14027925405180 18703900540240 22444680648288 28055850810360 37407801080480 56111701620720 112223403241440