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130442114424 = 23337797184309
BaseRepresentation
bin111100101111011110…
…1001011010101111000
3110110200201211222121010
41321132331023111320
54114121140130144
6135531351113520
712265322451456
oct1713675132570
9413621758533
10130442114424
115035819a256
12213449728a0
13c3ba6701bb
1464560b39d6
1535d6a955b9
hex1e5ef4b578

130442114424 has 64 divisors (see below), whose sum is σ = 335340986400. Its totient is φ = 42252240384.

The previous prime is 130442114419. The next prime is 130442114437. The reversal of 130442114424 is 424411244031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130442114391 and 130442114400.

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 15 ways as a sum of consecutive naturals, for example, 615582 + ... + 799890.

Almost surely, 2130442114424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130442114424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167670493200).

130442114424 is an abundant number, since it is smaller than the sum of its proper divisors (204898871976).

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

130442114424 is a wasteful number, since it uses less digits than its factorization.

130442114424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185152 (or 185148 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 130442114424 its reverse (424411244031), we get a palindrome (554853358455).

The spelling of 130442114424 in words is "one hundred thirty billion, four hundred forty-two million, one hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 797 888 1594 2391 3188 4782 6376 9564 19128 29489 58978 88467 117956 176934 184309 235912 353868 368618 552927 707736 737236 1105854 1474472 2211708 4423416 6819433 13638866 20458299 27277732 40916598 54555464 81833196 146894273 163666392 293788546 440682819 587577092 881365638 1175154184 1762731276 3525462552 5435088101 10870176202 16305264303 21740352404 32610528606 43480704808 65221057212 130442114424