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131332450335520 = 2557252733176861
BaseRepresentation
bin11101110111001000111000…
…000011001011101100100000
3122020000021000021101120210111
4131313020320003023230200
5114203222324241214040
61143153143400541104
736443312356531300
oct3567107003135440
9566007007346714
10131332450335520
1138934863425825
1212891137a81794
13583879b5a5395
14246074b395600
15102b3d22b2dea
hex7772380cbb20

131332450335520 has 144 divisors (see below), whose sum is σ = 360998278470648. Its totient is φ = 45019715112960.

The previous prime is 131332450335497. The next prime is 131332450335529. The reversal of 131332450335520 is 25533054233131.

It can be written as a sum of positive squares in 4 ways, for example, as 129651289148304 + 1681161187216 = 11386452^2 + 1296596^2 .

It is a super-2 number, since 2×1313324503355202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (131332450335529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39751890 + ... + 42928750.

Almost surely, 2131332450335520 is an apocalyptic number.

131332450335520 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 131332450335520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180499139235324).

131332450335520 is an abundant number, since it is smaller than the sum of its proper divisors (229665828135128).

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

131332450335520 is a wasteful number, since it uses less digits than its factorization.

131332450335520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182163 (or 3182148 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 40.

The spelling of 131332450335520 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, four hundred fifty million, three hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 5273 7840 10546 21092 26365 36911 42184 52730 73822 84368 105460 147644 168736 184555 210920 258377 295288 369110 421840 516754 590576 738220 843680 1033508 1181152 1291885 1476440 2067016 2583770 2952880 3176861 4134032 5167540 5905760 6353722 8268064 10335080 12707444 15884305 20670160 22238027 25414888 31768610 41340320 44476054 50829776 63537220 88952108 101659552 111190135 127074440 155666189 177904216 222380270 254148880 311332378 355808432 444760540 508297760 622664756 711616864 778330945 889521080 1245329512 1556661890 1779042160 2490659024 3113323780 3558084320 4981318048 6226647560 12453295120 16751588053 24906590240 33503176106 67006352212 83757940265 117261116371 134012704424 167515880530 234522232742 268025408848 335031761060 469044465484 536050817696 586305581855 670063522120 820827814597 938088930968 1172611163710 1340127044240 1641655629194 1876177861936 2345222327420 2680254088480 3283311258388 3752355723872 4104139072985 4690444654840 6566622516776 8208278145970 9380889309680 13133245033552 16416556291940 18761778619360 26266490067104 32833112583880 65666225167760 131332450335520