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4034240034000 = 243531161124849
BaseRepresentation
bin111010101101001011011…
…100011011010011010000
3112021200002010100122111120
4322231023130123103100
51012044110422042000
612325145420442240
7564315141332121
oct72551334332320
915250063318446
104034240034000
111315a03365a30
12551a429a9380
13233572745697
14dd388942048
156ee16e706a0
hex3ab4b71b4d0

4034240034000 has 160 divisors (see below), whose sum is σ = 14188789180800. Its totient is φ = 977997568000.

The previous prime is 4034240033963. The next prime is 4034240034043. The reversal of 4034240034000 is 4300424304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 30496425 + ... + 30628424.

It is an arithmetic number, because the mean of its divisors is an integer number (88679932380).

Almost surely, 24034240034000 is an apocalyptic number.

4034240034000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4034240034000 is an abundant number, since it is smaller than the sum of its proper divisors (10154549146800).

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

4034240034000 is a wasteful number, since it uses less digits than its factorization.

4034240034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61124886 (or 61124870 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 4034240034000 its reverse (4300424304), we get a palindrome (4038540458304).

The spelling of 4034240034000 in words is "four trillion, thirty-four billion, two hundred forty million, thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 61124849 122249698 183374547 244499396 305624245 366749094 488998792 611248490 672373339 733498188 916872735 977997584 1222496980 1344746678 1466996376 1528121225 1833745470 2017120017 2444993960 2689493356 2933992752 3056242450 3361866695 3667490940 4034240034 4584363675 4889987920 5378986712 6112484900 6723733390 7334981880 7640606125 8068480068 9168727350 10085600085 10757973424 12224969800 13447466780 14669963760 15281212250 16136960136 16809333475 18337454700 20171200170 22921818375 24449939600 26894933560 30562424500 32273920272 33618666950 36674909400 40342400340 45843636750 50428000425 53789867120 61124849000 67237333900 73349818800 80684800680 84046667375 91687273500 100856000850 122249698000 134474667800 161369601360 168093334750 183374547000 201712001700 252140002125 268949335600 336186669500 366749094000 403424003400 504280004250 672373339000 806848006800 1008560008500 1344746678000 2017120017000 4034240034000