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112543402240 = 2851926917203
BaseRepresentation
bin110100011010000011…
…1000000100100000000
3101202111100021012100001
41220310013000210000
53320442102332430
6123411323405344
711062634064223
oct1506407004400
9352440235301
10112543402240
11438028a8935
121998a683854
13a7c7414649
145638cd15ba
152dda5483ca
hex1a341c0900

112543402240 has 144 divisors (see below), whose sum is σ = 284836305600. Its totient is φ = 42487013376.

The previous prime is 112543402219. The next prime is 112543402277. The reversal of 112543402240 is 42204345211.

It is a junction number, because it is equal to n+sod(n) for n = 112543402199 and 112543402208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6533479 + ... + 6550681.

It is an arithmetic number, because the mean of its divisors is an integer number (1978029900).

Almost surely, 2112543402240 is an apocalyptic number.

112543402240 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 112543402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142418152800).

112543402240 is an abundant number, since it is smaller than the sum of its proper divisors (172292903360).

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

112543402240 is a wasteful number, since it uses less digits than its factorization.

112543402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17512 (or 17498 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 112543402240 its reverse (42204345211), we get a palindrome (154747747451).

The spelling of 112543402240 in words is "one hundred twelve billion, five hundred forty-three million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 269 304 320 380 538 608 640 760 1076 1216 1280 1345 1520 2152 2432 2690 3040 4304 4864 5111 5380 6080 8608 10222 10760 12160 17203 17216 20444 21520 24320 25555 34406 34432 40888 43040 51110 68812 68864 81776 86015 86080 102220 137624 163552 172030 172160 204440 275248 326857 327104 344060 344320 408880 550496 653714 654208 688120 817760 1100992 1307428 1308416 1376240 1634285 1635520 2201984 2614856 2752480 3268570 3271040 4403968 4627607 5229712 5504960 6537140 6542080 9255214 10459424 11009920 13074280 18510428 20918848 22019840 23138035 26148560 37020856 41837696 46276070 52297120 74041712 83675392 87924533 92552140 104594240 148083424 175849066 185104280 209188480 296166848 351698132 370208560 418376960 439622665 592333696 703396264 740417120 879245330 1184667392 1406792528 1480834240 1758490660 2813585056 2961668480 3516981320 5627170112 5923336960 7033962640 11254340224 14067925280 22508680448 28135850560 56271701120 112543402240