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445505303512240 = 245237315737210761
BaseRepresentation
bin110010101001011110100100…
…1010111001000010010110000
32011102101220001121000022012021
41211102331021113020102300
5431343124330144342430
64215302151103441224
7162560460505523536
oct14522751127102260
92142356047008167
10445505303512240
11119a51813595994
1241b71ab48b6214
1316177c7ba1375a
147c02800bda156
153678936aab07a
hex1952f495c84b0

445505303512240 has 160 divisors (see below), whose sum is σ = 1095715380191616. Its totient is φ = 168107733319680.

The previous prime is 445505303512229. The next prime is 445505303512253. The reversal of 445505303512240 is 42215303505544.

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, 2113688460 + ... + 2113899220.

Almost surely, 2445505303512240 is an apocalyptic number.

445505303512240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445505303512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547857690095808).

445505303512240 is an abundant number, since it is smaller than the sum of its proper divisors (650210076679376).

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

445505303512240 is a wasteful number, since it uses less digits than its factorization.

445505303512240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226607 (or 226601 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 43.

The spelling of 445505303512240 in words is "four hundred forty-five trillion, five hundred five billion, three hundred three million, five hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 73 80 92 115 146 184 230 292 365 368 460 584 730 920 1168 1460 1679 1840 2920 3358 5840 6716 8395 13432 15737 16790 26864 31474 33580 62948 67160 78685 125896 134320 157370 210761 251792 314740 361951 421522 629480 723902 843044 1053805 1148801 1258960 1447804 1686088 1809755 2107610 2297602 2895608 3372176 3619510 4215220 4595204 4847503 5744005 5791216 7239020 8430440 9190408 9695006 11488010 14478040 15385553 16860880 18380816 19390012 22976020 24237515 26422423 28956080 30771106 38780024 45952040 48475030 52844846 61542212 76927765 77560048 91904080 96950060 105689692 123084424 132112115 153855530 193900120 211379384 246168848 264224230 307711060 353867719 387800240 422758768 528448460 615422120 707735438 1056896920 1230844240 1415470876 1769338595 2113793840 2830941752 3316745857 3538677190 5661883504 6633491714 7077354380 13266983428 14154708760 16583729285 26533966856 28309417520 33167458570 53067933712 66334917140 76285154711 132669834280 152570309422 242122447561 265339668560 305140618844 381425773555 484244895122 610281237688 762851547110 968489790244 1210612237805 1220562475376 1525703094220 1936979580488 2421224475610 3051406188440 3873959160976 4842448951220 5568816293903 6102812376880 9684897902440 11137632587806 19369795804880 22275265175612 27844081469515 44550530351224 55688162939030 89101060702448 111376325878060 222752651756120 445505303512240