Search a number
-
+
241225533435000 = 2335479203565851
BaseRepresentation
bin110110110110010010110010…
…001110110010110001111000
31011122002221021011221001221010
4312312102302032302301320
5223104214343024410000
62213013251420313520
7101544653410606002
oct6666226216626170
91148087234831833
10241225533435000
116a9531a0984104
122307b15b0a28a0
13a47a61603825a
14437d54178b372
151cd4c6a3d8d50
hexdb64b23b2c78

241225533435000 has 160 divisors (see below), whose sum is σ = 763127665977600. Its totient is φ = 63512545200000.

The previous prime is 241225533434993. The next prime is 241225533435013. The reversal of 241225533435000 is 534335522142.

It is a self number, because there is not a number n which added to its sum of digits gives 241225533435000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100597926 + ... + 102967925.

It is an arithmetic number, because the mean of its divisors is an integer number (4769547912360).

Almost surely, 2241225533435000 is an apocalyptic number.

241225533435000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241225533435000 is an abundant number, since it is smaller than the sum of its proper divisors (521902132542600).

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

241225533435000 is a wasteful number, since it uses less digits than its factorization.

241225533435000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203565959 (or 203565940 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 39.

Adding to 241225533435000 its reverse (534335522142), we get a palindrome (241759868957142).

The spelling of 241225533435000 in words is "two hundred forty-one trillion, two hundred twenty-five billion, five hundred thirty-three million, four hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 79 100 120 125 150 158 200 237 250 300 316 375 395 474 500 600 625 632 750 790 948 1000 1185 1250 1500 1580 1875 1896 1975 2370 2500 3000 3160 3750 3950 4740 5000 5925 7500 7900 9480 9875 11850 15000 15800 19750 23700 29625 39500 47400 49375 59250 79000 98750 118500 148125 197500 237000 296250 395000 592500 1185000 203565851 407131702 610697553 814263404 1017829255 1221395106 1628526808 2035658510 2442790212 3053487765 4071317020 4885580424 5089146275 6106975530 8142634040 10178292550 12213951060 15267438825 16081702229 20356585100 24427902120 25445731375 30534877650 32163404458 40713170200 48245106687 50891462750 61069755300 64326808916 76337194125 80408511145 96490213374 101782925500 122139510600 127228656875 128653617832 152674388250 160817022290 192980426748 203565851000 241225533435 254457313750 305348776500 321634044580 381685970625 385960853496 402042555725 482451066870 508914627500 610697553000 643268089160 763371941250 804085111450 964902133740 1017829255000 1206127667175 1526743882500 1608170222900 1929804267480 2010212778625 2412255334350 3053487765000 3216340445800 4020425557250 4824510668700 6030638335875 8040851114500 9649021337400 10051063893125 12061276671750 16081702229000 20102127786250 24122553343500 30153191679375 40204255572500 48245106687000 60306383358750 80408511145000 120612766717500 241225533435000