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220445140531140 = 223257571306403609
BaseRepresentation
bin110010000111111001100010…
…010010110011011111000100
31001220112100102212112111202200
4302013321202102303133010
5212343233121433444030
62100503033254034500
764301431041410460
oct6207714222633704
91056470385474680
10220445140531140
1164271293922968
12208838b3648a30
139600b6cc570b5
143c6185d2154a0
151a7443d76ad60
hexc87e624b37c4

220445140531140 has 144 divisors (see below), whose sum is σ = 765548193970560. Its totient is φ = 50299216289280.

The previous prime is 220445140531117. The next prime is 220445140531141. The reversal of 220445140531140 is 41135041544022.

220445140531140 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 45 + 1 + 40 + 531 + 1 + 40 = 666.

220445140531140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 220445140531095 and 220445140531104.

It is not an unprimeable number, because it can be changed into a prime (220445140531141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152482345 + ... + 153921264.

Almost surely, 2220445140531140 is an apocalyptic number.

220445140531140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220445140531140 is an abundant number, since it is smaller than the sum of its proper divisors (545103053439420).

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

220445140531140 is a wasteful number, since it uses less digits than its factorization.

220445140531140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306404202 (or 306404197 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 220445140531140 in words is "two hundred twenty trillion, four hundred forty-five billion, one hundred forty million, five hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 571 630 1142 1260 1713 2284 2855 3426 3997 5139 5710 6852 7994 8565 10278 11420 11991 15988 17130 19985 20556 23982 25695 34260 35973 39970 47964 51390 59955 71946 79940 102780 119910 143892 179865 239820 359730 719460 306403609 612807218 919210827 1225614436 1532018045 1838421654 2144825263 2757632481 3064036090 3676843308 4289650526 4596054135 5515264962 6128072180 6434475789 8579301052 9192108270 10724126315 11030529924 12868951578 13788162405 18384216540 19303427367 21448252630 25737903156 27576324810 32172378945 38606854734 42896505260 55152649620 64344757890 77213709468 96517136835 128689515780 174956460739 193034273670 349912921478 386068547340 524869382217 699825842956 874782303695 1049738764434 1224695225173 1574608146651 1749564607390 2099477528868 2449390450346 2624346911085 3149216293302 3499129214780 3674085675519 4898780900692 5248693822170 6123476125865 6298432586604 7348171351038 7873040733255 10497387644340 11022257026557 12246952251730 14696342702076 15746081466510 18370428377595 22044514053114 24493904503460 31492162933020 36740856755190 44089028106228 55111285132785 73481713510380 110222570265570 220445140531140