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1413242124 = 2237210912203
BaseRepresentation
bin101010000111100…
…0101110100001100
310122111021010201220
41110033011310030
510343242221444
6352122403340
750010234300
oct12417056414
93574233656
101413242124
116658137a8
12335360550
13196a36c58
14d599bd00
158410d619
hex543c5d0c

1413242124 has 72 divisors (see below), whose sum is σ = 3841201728. Its totient is φ = 403230240.

The previous prime is 1413242119. The next prime is 1413242177. The reversal of 1413242124 is 4212423141.

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

It is a junction number, because it is equal to n+sod(n) for n = 1413242094 and 1413242103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640407 + ... + 642609.

It is an arithmetic number, because the mean of its divisors is an integer number (53350024).

Almost surely, 21413242124 is an apocalyptic number.

1413242124 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 1413242124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920600864).

1413242124 is an abundant number, since it is smaller than the sum of its proper divisors (2427959604).

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

1413242124 is a wasteful number, since it uses less digits than its factorization.

1413242124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315 (or 3306 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 1413242124 is about 37593.1127202843. The cubic root of 1413242124 is about 1122.2049790566.

Adding to 1413242124 its reverse (4212423141), we get a palindrome (5625665265).

The spelling of 1413242124 in words is "one billion, four hundred thirteen million, two hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1091 2182 2203 3273 4364 4406 6546 6609 7637 8812 13092 13218 15274 15421 22911 26436 30548 30842 45822 46263 53459 61684 91644 92526 106918 107947 160377 185052 213836 215894 320754 323841 431788 641508 647682 1295364 2403473 4806946 7210419 9613892 14420838 16824311 28841676 33648622 50472933 67297244 100945866 117770177 201891732 235540354 353310531 471080708 706621062 1413242124