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130146424436 = 227317313115679
BaseRepresentation
bin111100100110101010…
…1001101011001110100
3110102221010110101012002
41321031111031121310
54113014441040221
6135442145314432
712255102232520
oct1711525153164
9412833411162
10130146424436
1150216299a66
1221281935a18
13c371321102
146428b02d80
1535bab3880b
hex1e4d54d674

130146424436 has 96 divisors (see below), whose sum is σ = 274466734080. Its totient is φ = 52828588800.

The previous prime is 130146424423. The next prime is 130146424453. The reversal of 130146424436 is 634424641031.

It is a self number, because there is not a number n which added to its sum of digits gives 130146424436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8292845 + ... + 8308523.

It is an arithmetic number, because the mean of its divisors is an integer number (2859028480).

Almost surely, 2130146424436 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 130146424436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137233367040).

130146424436 is an abundant number, since it is smaller than the sum of its proper divisors (144320309644).

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

130146424436 is a wasteful number, since it uses less digits than its factorization.

130146424436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15925 (or 15923 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 130146424436 in words is "one hundred thirty billion, one hundred forty-six million, four hundred twenty-four thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 31 62 73 124 131 146 217 262 292 434 511 524 868 917 1022 1834 2044 2263 3668 4061 4526 8122 9052 9563 15679 15841 16244 19126 28427 31358 31682 38252 56854 62716 63364 66941 109753 113708 133882 219506 267764 296453 439012 486049 592906 972098 1144567 1185812 1944196 2053949 2075171 2289134 3402343 4107898 4150342 4578268 6804686 8011969 8215796 8300684 13609372 14377643 16023938 28755286 32047876 35481577 57510572 63672419 70963154 127344838 141926308 149938277 248371039 254689676 299876554 445706933 496742078 599753108 891413866 993484156 1049567939 1782827732 2099135878 4198271756 4648086587 9296173174 18592346348 32536606109 65073212218 130146424436