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131115345514240 = 285103199353893
BaseRepresentation
bin11101110011111110101011…
…100110000000111100000000
3122012020111121212100221121211
4131303332223212000330000
5114141143211422423430
61142505320323055504
736421525330150543
oct3563765346007400
9565214555327554
10131115345514240
113886078441119a
1212857047b11594
13582117c6519a9
14245403370a85a
15102592735d72a
hex773fab980f00

131115345514240 has 72 divisors (see below), whose sum is σ = 314366848252128. Its totient is φ = 52395268485120.

The previous prime is 131115345514199. The next prime is 131115345514271. The reversal of 131115345514240 is 42415543511131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131115345514193 and 131115345514202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48357267 + ... + 50996626.

It is an arithmetic number, because the mean of its divisors is an integer number (4366206225724).

Almost surely, 2131115345514240 is an apocalyptic number.

131115345514240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131115345514240 is an abundant number, since it is smaller than the sum of its proper divisors (183251502737888).

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

131115345514240 is an equidigital number, since it uses as much as digits as its factorization.

131115345514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99354945 (or 99354931 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 131115345514240 in words is "one hundred thirty-one trillion, one hundred fifteen billion, three hundred forty-five million, five hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1031 1280 2062 4124 5155 8248 10310 16496 20620 32992 41240 65984 82480 131968 164960 263936 329920 659840 1319680 99353893 198707786 397415572 496769465 794831144 993538930 1589662288 1987077860 3179324576 3974155720 6358649152 7948311440 12717298304 15896622880 25434596608 31793245760 63586491520 102433863683 127172983040 204867727366 409735454732 512169318415 819470909464 1024338636830 1638941818928 2048677273660 3277883637856 4097354547320 6555767275712 8194709094640 13111534551424 16389418189280 26223069102848 32778836378560 65557672757120 131115345514240