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114030430420 = 22532257176753
BaseRepresentation
bin110101000110010111…
…1100100100011010100
3101220022222101001111211
41222030233210203110
53332013242233140
6124215043511204
711144531444314
oct1521457444324
9356288331454
10114030430420
11443a6229145
121a124688504
13a9a351448a
14573a5b9444
152e75d7e2ea
hex1a8cbe48d4

114030430420 has 24 divisors (see below), whose sum is σ = 239472682344. Its totient is φ = 45610500096.

The previous prime is 114030430417. The next prime is 114030430421. The reversal of 114030430420 is 24034030411.

It can be written as a sum of positive squares in 4 ways, for example, as 864124816 + 113166305604 = 29396^2 + 336402^2 .

It is a super-2 number, since 2×1140304304202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114030430391 and 114030430400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114030430421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 556764 + ... + 733516.

It is an arithmetic number, because the mean of its divisors is an integer number (9978028431).

Almost surely, 2114030430420 is an apocalyptic number.

114030430420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114030430420 is an abundant number, since it is smaller than the sum of its proper divisors (125442251924).

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

114030430420 is a wasteful number, since it uses less digits than its factorization.

114030430420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209019 (or 209017 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 114030430420 its reverse (24034030411), we get a palindrome (138064460831).

It can be divided in two parts, 1140304 and 30420, that added together give a square (1170724 = 10822).

The spelling of 114030430420 in words is "one hundred fourteen billion, thirty million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 32257 64514 129028 161285 176753 322570 353506 645140 707012 883765 1767530 3535060 5701521521 11403043042 22806086084 28507607605 57015215210 114030430420