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130884142680 = 23335415729153
BaseRepresentation
bin111100111100101001…
…1011000011001011000
3110111211112121100101000
41321321103120121120
54121022320031210
6140043301225000
712312300566544
oct1717123303130
9414745540330
10130884142680
1150564760665
1221448a02160
13c45b108595
146498a98a24
1536107abac0
hex1e794d8658

130884142680 has 128 divisors (see below), whose sum is σ = 436400395200. Its totient is φ = 34892845056.

The previous prime is 130884142661. The next prime is 130884142681. The reversal of 130884142680 is 86241488031.

130884142680 is a `hidden beast` number, since 1 + 30 + 88 + 41 + 426 + 80 = 666.

130884142680 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130884142681) 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, 4474984 + ... + 4504136.

Almost surely, 2130884142680 is an apocalyptic number.

130884142680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130884142680 is an abundant number, since it is smaller than the sum of its proper divisors (305516252520).

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

130884142680 is a wasteful number, since it uses less digits than its factorization.

130884142680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33330 (or 33320 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 130884142680 in words is "one hundred thirty billion, eight hundred eighty-four million, one hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 4157 8314 12471 16628 20785 24942 29153 33256 37413 41570 49884 58306 62355 74826 83140 87459 99768 112239 116612 124710 145765 149652 166280 174918 187065 224478 233224 249420 262377 291530 299304 349836 374130 437295 448956 498840 524754 561195 583060 699672 748260 787131 874590 897912 1049508 1122390 1166120 1311885 1496520 1574262 1749180 2099016 2244780 2623770 3148524 3498360 3935655 4489560 5247540 6297048 7871310 10495080 15742620 31485240 121189021 242378042 363567063 484756084 605945105 727134126 969512168 1090701189 1211890210 1454268252 1817835315 2181402378 2423780420 2908536504 3272103567 3635670630 4362804756 4847560840 5453505945 6544207134 7271341260 8725609512 10907011890 13088414268 14542682520 16360517835 21814023780 26176828536 32721035670 43628047560 65442071340 130884142680