Search a number
-
+
5331230245200 = 2435231143312641
BaseRepresentation
bin100110110010100011000…
…0101011100000101010000
3200212122211121020222200110
41031211012011130011100
51144321324420321300
615201044450121320
71060111566251166
oct115450605340520
920778747228613
105331230245200
111775a64541262
1272128a280240
132c896b10bbb2
14146066497236
1593a26a1b550
hex4d94615c150

5331230245200 has 120 divisors (see below), whose sum is σ = 17628601467136. Its totient is φ = 1375801344000.

The previous prime is 5331230245163. The next prime is 5331230245259. The reversal of 5331230245200 is 25420321335.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71619121 + ... + 71693520.

Almost surely, 25331230245200 is an apocalyptic number.

5331230245200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5331230245200 is an abundant number, since it is smaller than the sum of its proper divisors (12297371221936).

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

5331230245200 is a wasteful number, since it uses less digits than its factorization.

5331230245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143312693 (or 143312682 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 5331230245200 its reverse (25420321335), we get a palindrome (5356650566535).

The spelling of 5331230245200 in words is "five trillion, three hundred thirty-one billion, two hundred thirty million, two hundred forty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 150 155 186 200 240 248 300 310 372 400 465 496 600 620 744 775 930 1200 1240 1488 1550 1860 2325 2480 3100 3720 4650 6200 7440 9300 12400 18600 37200 143312641 286625282 429937923 573250564 716563205 859875846 1146501128 1433126410 1719751692 2149689615 2293002256 2866252820 3439503384 3582816025 4299379230 4442691871 5732505640 6879006768 7165632050 8598758460 8885383742 10748448075 11465011280 13328075613 14331264100 17197516920 17770767484 21496896150 22213459355 26656151226 28662528200 34395033840 35541534968 42993792300 44426918710 53312302452 57325056400 66640378065 71083069936 85987584600 88853837420 106624604904 111067296775 133280756130 171975169200 177707674840 213249209808 222134593550 266561512260 333201890325 355415349680 444269187100 533123024520 666403780650 888538374200 1066246049040 1332807561300 1777076748400 2665615122600 5331230245200