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114621003420 = 22357112101137163
BaseRepresentation
bin110101010111111110…
…0011011011010011100
3101221212010122021100220
41222233330123122130
53334220434102140
6124353421521340
711165262311430
oct1525774333234
9357763567326
10114621003420
1144679628400
121a26a413250
13aa6898c261
145794bca9c0
152eacb38bd0
hex1aaff1b69c

114621003420 has 576 divisors, whose sum is σ = 412642556928. Its totient is φ = 23265792000.

The previous prime is 114621003403. The next prime is 114621003437. The reversal of 114621003420 is 24300126411.

It is an interprime number because it is at equal distance from previous prime (114621003403) and next prime (114621003437).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 703196259 + ... + 703196421.

It is an arithmetic number, because the mean of its divisors is an integer number (716393328).

Almost surely, 2114621003420 is an apocalyptic number.

114621003420 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 114621003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206321278464).

114621003420 is an abundant number, since it is smaller than the sum of its proper divisors (298021553508).

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

114621003420 is a wasteful number, since it uses less digits than its factorization.

114621003420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114621003420 its reverse (24300126411), we get a palindrome (138921129831).

The spelling of 114621003420 in words is "one hundred fourteen billion, six hundred twenty-one million, three thousand, four hundred twenty".