Search a number
-
+
432221155420000 = 255453407755807
BaseRepresentation
bin110001001000110100101010…
…0011011101110011101100000
32002200100221100110202002121111
41202101221110123232131200
5423123002411241420000
64131131354015233104
7160016643105024142
oct14221512433563540
92080327313662544
10432221155420000
1111579aa65285911
1240587432518794
131572338440121b
1478a3889094c92
1534e80e6756cba
hex1891a546ee760

432221155420000 has 120 divisors (see below), whose sum is σ = 1083391687135296. Its totient is φ = 169626415296000.

The previous prime is 432221155419959. The next prime is 432221155420007. The reversal of 432221155420000 is 24551122234.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432221155420007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 202817904 + ... + 204937903.

Almost surely, 2432221155420000 is an apocalyptic number.

432221155420000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432221155420000 is an abundant number, since it is smaller than the sum of its proper divisors (651170531715296).

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

432221155420000 is an equidigital number, since it uses as much as digits as its factorization.

432221155420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407755890 (or 407755867 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 432221155420000 in words is "four hundred thirty-two trillion, two hundred twenty-one billion, one hundred fifty-five million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 80 100 106 125 160 200 212 250 265 400 424 500 530 625 800 848 1000 1060 1250 1325 1696 2000 2120 2500 2650 4000 4240 5000 5300 6625 8480 10000 10600 13250 20000 21200 26500 33125 42400 53000 66250 106000 132500 212000 265000 530000 1060000 407755807 815511614 1631023228 2038779035 3262046456 4077558070 6524092912 8155116140 10193895175 13048185824 16310232280 20387790350 21611057771 32620464560 40775580700 43222115542 50969475875 65240929120 81551161400 86444231084 101938951750 108055288855 163102322800 172888462168 203877903500 216110577710 254847379375 326204645600 345776924336 407755807000 432221155420 509694758750 540276444275 691553848672 815511614000 864442310840 1019389517500 1080552888550 1631023228000 1728884621680 2038779035000 2161105777100 2701382221375 3457769243360 4077558070000 4322211554200 5402764442750 8155116140000 8644423108400 10805528885500 13506911106875 17288846216800 21611057771000 27013822213750 43222115542000 54027644427500 86444231084000 108055288855000 216110577710000 432221155420000