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4243232400040 = 2355319127737831
BaseRepresentation
bin111101101111110100010…
…111000010001010101000
3120000122112011100212012001
4331233310113002022220
51024010114443300130
613005151500300344
7615364153203544
oct75576427021250
916018464325161
104243232400040
1113965aa0838a7
12586449b416b4
1324a19aa711ba
1410953300ca24
1575599ab46ca
hex3dbf45c22a8

4243232400040 has 128 divisors (see below), whose sum is σ = 9813899243520. Its totient is φ = 1650525926400.

The previous prime is 4243232400019. The next prime is 4243232400073. The reversal of 4243232400040 is 400042323424.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4243232399981 and 4243232400008.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112143925 + ... + 112181755.

It is an arithmetic number, because the mean of its divisors is an integer number (76671087840).

Almost surely, 24243232400040 is an apocalyptic number.

4243232400040 is a gapful number since it is divisible by the number (40) 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 4243232400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906949621760).

4243232400040 is an abundant number, since it is smaller than the sum of its proper divisors (5570666843480).

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

4243232400040 is a wasteful number, since it uses less digits than its factorization.

4243232400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38363 (or 38359 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 4243232400040 its reverse (400042323424), we get a palindrome (4643274723464).

The spelling of 4243232400040 in words is "four trillion, two hundred forty-three billion, two hundred thirty-two million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 191 212 265 277 382 424 530 554 764 955 1060 1108 1385 1528 1910 2120 2216 2770 3820 5540 7640 10123 11080 14681 20246 29362 37831 40492 50615 52907 58724 73405 75662 80984 101230 105814 117448 146810 151324 189155 202460 211628 264535 293620 302648 378310 404920 423256 529070 587240 756620 1058140 1513240 2005043 2116280 2804071 4010086 5608142 7225721 8020172 10025215 10479187 11216284 14020355 14451442 16040344 20050430 20958374 22432568 28040710 28902884 36128605 40100860 41916748 52395935 56081420 57805768 72257210 80201720 83833496 104791870 112162840 144514420 209583740 289028840 382963213 419167480 555396911 765926426 1110793822 1531852852 1914816065 2001524717 2221587644 2776984555 3063705704 3829632130 4003049434 4443175288 5553969110 7659264260 8006098868 10007623585 11107938220 15318528520 16012197736 20015247170 22215876440 40030494340 80060988680 106080810001 212161620002 424323240004 530404050005 848646480008 1060808100010 2121616200020 4243232400040