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131660141360 = 245114116721851
BaseRepresentation
bin111101010011110001…
…1100101001100110000
3110120211121210011102212
41322213203211030300
54124114444010420
6140252301431252
712340442510426
oct1724743451460
9416747704385
10131660141360
1150922798990
122162486b528
13c552b069b7
14652db77116
1536589923c5
hex1ea78e5330

131660141360 has 160 divisors (see below), whose sum is σ = 344146973184. Its totient is φ = 46426880000.

The previous prime is 131660141311. The next prime is 131660141369. The reversal of 131660141360 is 63141066131.

It is not an unprimeable number, because it can be changed into a prime (131660141369) by changing a digit.

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, 6014435 + ... + 6036285.

Almost surely, 2131660141360 is an apocalyptic number.

131660141360 is a gapful number since it is divisible by the number (10) 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 131660141360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172073486592).

131660141360 is an abundant number, since it is smaller than the sum of its proper divisors (212486831824).

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

131660141360 is a wasteful number, since it uses less digits than its factorization.

131660141360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22083 (or 22077 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 131660141360 in words is "one hundred thirty-one billion, six hundred sixty million, one hundred forty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 167 176 205 220 328 334 410 440 451 656 668 820 835 880 902 1336 1640 1670 1804 1837 2255 2672 3280 3340 3608 3674 4510 6680 6847 7216 7348 9020 9185 13360 13694 14696 18040 18370 21851 27388 29392 34235 36080 36740 43702 54776 68470 73480 75317 87404 109255 109552 136940 146960 150634 174808 218510 240361 273880 301268 349616 376585 437020 480722 547760 602536 753170 874040 895891 961444 1201805 1205072 1506340 1748080 1791782 1922888 2403610 3012680 3583564 3649117 3845776 4479455 4807220 6025360 7167128 7298234 8958910 9614440 9854801 14334256 14596468 17917820 18245585 19228880 19709602 29192936 35835640 36491170 39419204 40140287 49274005 58385872 71671280 72982340 78838408 80280574 98548010 145964680 149613797 157676816 160561148 197096020 200701435 291929360 299227594 321122296 394192040 401402870 598455188 642244592 748068985 788384080 802805740 1196910376 1496137970 1605611480 1645751767 2393820752 2992275940 3211222960 3291503534 5984551880 6583007068 8228758835 11969103760 13166014136 16457517670 26332028272 32915035340 65830070680 131660141360