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234364040000 = 265417344653
BaseRepresentation
bin1101101001000100101…
…1110111001101000000
3211101221020021210022122
43122101023313031000
512314434143240000
6255355414423412
722634521320356
oct3322113671500
9741836253278
10234364040000
1190436433062
1239508061b68
131913c86655c
14b4b3d637d6
15616a282085
hex36912f7340

234364040000 has 140 divisors (see below), whose sum is σ = 615333533364. Its totient is φ = 88230912000.

The previous prime is 234364039999. The next prime is 234364040011. The reversal of 234364040000 is 40463432.

It can be written as a sum of positive squares in 10 ways, for example, as 88170988096 + 146193051904 = 296936^2 + 382352^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 507674 + ... + 852326.

Almost surely, 2234364040000 is an apocalyptic number.

234364040000 is a gapful number since it is divisible by the number (20) 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 234364040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307666766682).

234364040000 is an abundant number, since it is smaller than the sum of its proper divisors (380969493364).

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

234364040000 is an equidigital number, since it uses as much as digits as its factorization.

234364040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344702 (or 344677 counting only the distinct ones).

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

The spelling of 234364040000 in words is "two hundred thirty-four billion, three hundred sixty-four million, forty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 544 625 680 800 850 1000 1088 1250 1360 1600 1700 2000 2125 2500 2720 3400 4000 4250 5000 5440 6800 8000 8500 10000 10625 13600 17000 20000 21250 27200 34000 40000 42500 68000 85000 136000 170000 340000 344653 680000 689306 1378612 1723265 2757224 3446530 5514448 5859101 6893060 8616325 11028896 11718202 13786120 17232650 22057792 23436404 27572240 29295505 34465300 43081625 46872808 55144480 58591010 68930600 86163250 93745616 110288960 117182020 137861200 146477525 172326500 187491232 215408125 234364040 275722400 292955050 344653000 374982464 430816250 468728080 551444800 585910100 689306000 732387625 861632500 937456160 1171820200 1378612000 1464775250 1723265000 1874912320 2343640400 2757224000 2929550500 3446530000 3661938125 4687280800 5859101000 6893060000 7323876250 9374561600 11718202000 13786120000 14647752500 23436404000 29295505000 46872808000 58591010000 117182020000 234364040000