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130154148024 = 233314722316691
BaseRepresentation
bin111100100110111001…
…0101011000010111000
3110102221122222202221220
41321031302223002320
54113023430214044
6135443023032040
712255225001335
oct1711562530270
9412848882856
10130154148024
115021a69489a
122128443b620
13c372ac6794
146429b5398c
1535bb662019
hex1e4dcab0b8

130154148024 has 128 divisors (see below), whose sum is σ = 344586977280. Its totient is φ = 40905187200.

The previous prime is 130154148013. The next prime is 130154148041. The reversal of 130154148024 is 420841451031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7789519 + ... + 7806209.

It is an arithmetic number, because the mean of its divisors is an integer number (2692085760).

Almost surely, 2130154148024 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 130154148024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172293488640).

130154148024 is an abundant number, since it is smaller than the sum of its proper divisors (214432829256).

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

130154148024 is a wasteful number, since it uses less digits than its factorization.

130154148024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17001 (or 16997 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 130154148024 its reverse (420841451031), we get a palindrome (550995599055).

The spelling of 130154148024 in words is "one hundred thirty billion, one hundred fifty-four million, one hundred forty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 47 62 93 94 124 141 186 188 223 248 282 372 376 446 564 669 744 892 1128 1338 1457 1784 2676 2914 4371 5352 5828 6913 8742 10481 11656 13826 16691 17484 20739 20962 27652 31443 33382 34968 41478 41924 50073 55304 62886 66764 82956 83848 100146 125772 133528 165912 200292 251544 324911 400584 517421 649822 784477 974733 1034842 1299644 1552263 1568954 1949466 2069684 2353431 2599288 3104526 3137908 3722093 3898932 4139368 4706862 6209052 6275816 7444186 7797864 9413724 11166279 12418104 14888372 18827448 22332558 24318787 29776744 44665116 48637574 72956361 89330232 97275148 115384883 145912722 174938371 194550296 230769766 291825444 346154649 349876742 461539532 524815113 583650888 692309298 699753484 923079064 1049630226 1384618596 1399506968 2099260452 2769237192 4198520904 5423089501 10846179002 16269268503 21692358004 32538537006 43384716008 65077074012 130154148024