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4234431434000 = 245317231153891
BaseRepresentation
bin111101100111100111110…
…010000000110100010000
3112222210210210210110102212
4331213213302000310100
51023334103421342000
613001134305131252
7614633105214455
oct75474762006420
915883723713385
104234431434000
1113928a3175849
125847b2629b28
132493c75ca5a1
14108d3a20782c
1575232100c35
hex3d9e7c80d10

4234431434000 has 160 divisors (see below), whose sum is σ = 10846033166592. Its totient is φ = 1593419520000.

The previous prime is 4234431433993. The next prime is 4234431434053. The reversal of 4234431434000 is 4341344324.

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, 78547055 + ... + 78600945.

Almost surely, 24234431434000 is an apocalyptic number.

4234431434000 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 4234431434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423016583296).

4234431434000 is an abundant number, since it is smaller than the sum of its proper divisors (6611601732592).

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

4234431434000 is a wasteful number, since it uses less digits than its factorization.

4234431434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56242 (or 56226 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4234431434000 its reverse (4341344324), we get a palindrome (4238772778324).

The spelling of 4234431434000 in words is "four trillion, two hundred thirty-four billion, four hundred thirty-one million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 2311 3400 4250 4622 6800 8500 9244 11555 17000 18488 23110 34000 36976 39287 46220 53891 57775 78574 92440 107782 115550 157148 184880 196435 215564 231100 269455 288875 314296 392870 431128 462200 538910 577750 628592 785740 862256 916147 924400 982175 1077820 1155500 1347275 1571480 1832294 1964350 2155640 2311000 2694550 3142960 3664588 3928700 4311280 4580735 4622000 4910875 5389100 6736375 7329176 7857400 9161470 9821750 10778200 13472750 14658352 15714800 18322940 19643500 21556400 22903675 26945500 36645880 39287000 45807350 53891000 73291760 78574000 91614700 107782000 114518375 124542101 183229400 229036750 249084202 366458800 458073500 498168404 622710505 916147000 996336808 1245421010 1832294000 1992673616 2117215717 2490842020 3113552525 4234431434 4981684040 6227105050 8468862868 9963368080 10586078585 12454210100 15567762625 16937725736 21172157170 24908420200 31135525250 33875451472 42344314340 49816840400 52930392925 62271050500 84688628680 105860785850 124542101000 169377257360 211721571700 249084202000 264651964625 423443143400 529303929250 846886286800 1058607858500 2117215717000 4234431434000