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114232430440 = 23541239291439
BaseRepresentation
bin110101001100011001…
…0001000111101101000
3101220212001110201110001
41222120302020331220
53332422000233230
6124251101232344
711152533431542
oct1523062107550
9356761421401
10114232430440
114449a257807
121a1802626b4
13aa0631bc0b
14575935c692
152e889810ca
hex1a98c88f68

114232430440 has 64 divisors (see below), whose sum is σ = 264394368000. Its totient is φ = 44391836160.

The previous prime is 114232430437. The next prime is 114232430471. The reversal of 114232430440 is 44034232411.

It is a junction number, because it is equal to n+sod(n) for n = 114232430399 and 114232430408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246241 + ... + 537679.

It is an arithmetic number, because the mean of its divisors is an integer number (4131162000).

Almost surely, 2114232430440 is an apocalyptic number.

114232430440 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 114232430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132197184000).

114232430440 is an abundant number, since it is smaller than the sum of its proper divisors (150161937560).

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

114232430440 is a wasteful number, since it uses less digits than its factorization.

114232430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291730 (or 291726 counting only the distinct ones).

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

Adding to 114232430440 its reverse (44034232411), we get a palindrome (158266662851).

The spelling of 114232430440 in words is "one hundred fourteen billion, two hundred thirty-two million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 239 328 410 478 820 956 1195 1640 1912 2390 4780 9560 9799 19598 39196 48995 78392 97990 195980 291439 391960 582878 1165756 1457195 2331512 2914390 5828780 11657560 11948999 23897998 47795996 59744995 69653921 95591992 119489990 139307842 238979980 278615684 348269605 477959960 557231368 696539210 1393078420 2786156840 2855810761 5711621522 11423243044 14279053805 22846486088 28558107610 57116215220 114232430440