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141414224 = 2472335419
BaseRepresentation
bin10000110110111…
…00111101010000
3100212002120211212
420123130331100
5242200223344
622010555252
73335000240
oct1033347520
9325076755
10141414224
1172908666
123b438b28
13233b3c73
1414ad1b20
15c63579e
hex86dcf50

141414224 has 40 divisors (see below), whose sum is σ = 314533440. Its totient is φ = 60334848.

The previous prime is 141414199. The next prime is 141414233. The reversal of 141414224 is 422414141.

141414224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 141414224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23387 + ... + 28805.

It is an arithmetic number, because the mean of its divisors is an integer number (7863336).

Almost surely, 2141414224 is an apocalyptic number.

141414224 is a gapful number since it is divisible by the number (14) 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 141414224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157266720).

141414224 is an abundant number, since it is smaller than the sum of its proper divisors (173119216).

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

141414224 is a wasteful number, since it uses less digits than its factorization.

141414224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5667 (or 5661 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 141414224 is about 11891.7712726070. The cubic root of 141414224 is about 520.9919723491.

Adding to 141414224 its reverse (422414141), we get a palindrome (563828365).

The spelling of 141414224 in words is "one hundred forty-one million, four hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 233 466 932 1631 1864 3262 3728 5419 6524 10838 13048 21676 26096 37933 43352 75866 86704 151732 303464 606928 1262627 2525254 5050508 8838389 10101016 17676778 20202032 35353556 70707112 141414224