Search a number
-
+
130242340304 = 241923731092341
BaseRepresentation
bin111100101001100001…
…1000110010111010000
3110110011210221102000122
41321103003012113100
54113214014342204
6135455453205412
712260345424566
oct1712303062720
9413153842018
10130242340304
1150265450a7a
12212a9a90868
13c38816496b
14643774da36
1535c42830be
hex1e530c65d0

130242340304 has 160 divisors (see below), whose sum is σ = 283670534400. Its totient is φ = 57644421120.

The previous prime is 130242340303. The next prime is 130242340331. The reversal of 130242340304 is 403043242031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130242340303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55634174 + ... + 55636514.

It is an arithmetic number, because the mean of its divisors is an integer number (1772940840).

Almost surely, 2130242340304 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 130242340304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141835267200).

130242340304 is an abundant number, since it is smaller than the sum of its proper divisors (153428194096).

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

130242340304 is a wasteful number, since it uses less digits than its factorization.

130242340304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 130242340304 its reverse (403043242031), we get a palindrome (533285582335).

The spelling of 130242340304 in words is "one hundred thirty billion, two hundred forty-two million, three hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 16 19 23 38 46 73 76 92 109 146 152 184 218 292 304 368 436 437 584 872 874 1168 1387 1679 1744 1748 2071 2341 2507 2774 3358 3496 4142 4682 5014 5548 6716 6992 7957 8284 9364 10028 11096 13432 15914 16568 18728 20056 22192 26864 31828 31901 33136 37456 40112 44479 47633 53843 63656 63802 88958 95266 107686 127312 127604 151183 170893 177916 183011 190532 215372 255169 255208 302366 341786 355832 366022 381064 430744 510338 510416 604732 683572 711664 732044 762128 861488 1020676 1023017 1209464 1367144 1464088 2041352 2046034 2418928 2734288 2928176 3246967 3477209 3930539 4082704 4092068 4848211 5868887 6493934 6954418 7861078 8184136 9696422 11737774 12987868 13908836 15722156 16368272 18627337 19392844 23475548 25975736 27817672 31444312 37254674 38785688 46951096 51951472 55635344 62888624 74509348 74680241 77571376 93902192 111508853 149018696 149360482 223017706 298037392 298720964 353919403 428428751 446035412 597441928 707838806 856857502 892070824 1194883856 1415677612 1713715004 1784141648 2831355224 3427430008 5662710448 6854860016 8140146269 16280292538 32560585076 65121170152 130242340304