Search a number
-
+
453311300300000 = 255522320327861
BaseRepresentation
bin110011100010010001100001…
…1000001101110110011100000
32012110001010200221010101212112
41213010203003001232303200
5433404023020334100000
64244040200401414452
7164324442415455242
oct14704430301566340
92173033627111775
10453311300300000
1112149127424436a
1242a1292533a428
13165c30c27cb36c
147dd25539ac092
153761a01c9d235
hex19c48c306ece0

453311300300000 has 144 divisors (see below), whose sum is σ = 1120501676052864. Its totient is φ = 180511396800000.

The previous prime is 453311300299997. The next prime is 453311300300017. The reversal of 453311300300000 is 3003113354.

It is a happy number.

It is a super-2 number, since 2×4533113003000002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12136070 + ... + 32463930.

It is an arithmetic number, because the mean of its divisors is an integer number (7781261639256).

Almost surely, 2453311300300000 is an apocalyptic number.

453311300300000 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 453311300300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560250838026432).

453311300300000 is an abundant number, since it is smaller than the sum of its proper divisors (667190375752864).

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

453311300300000 is an equidigital number, since it uses as much as digits as its factorization.

453311300300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20328119 (or 20328091 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

Adding to 453311300300000 its reverse (3003113354), we get a palindrome (453314303413354).

The spelling of 453311300300000 in words is "four hundred fifty-three trillion, three hundred eleven billion, three hundred million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 223 250 400 446 500 625 800 892 1000 1115 1250 1784 2000 2230 2500 3125 3568 4000 4460 5000 5575 6250 7136 8920 10000 11150 12500 17840 20000 22300 25000 27875 35680 44600 50000 55750 89200 100000 111500 139375 178400 223000 278750 446000 557500 696875 892000 1115000 1393750 2230000 2787500 4460000 5575000 11150000 20327861 22300000 40655722 81311444 101639305 162622888 203278610 325245776 406557220 508196525 650491552 813114440 1016393050 1626228880 2032786100 2540982625 3252457760 4065572200 4533113003 5081965250 8131144400 9066226006 10163930500 12704913125 16262288800 18132452012 20327861000 22665565015 25409826250 36264904024 40655722000 45331130030 50819652500 63524565625 72529808048 81311444000 90662260060 101639305000 113327825075 127049131250 145059616096 181324520120 203278610000 226655650150 254098262500 362649040240 406557220000 453311300300 508196525000 566639125375 725298080480 906622600600 1016393050000 1133278250750 1813245201200 2032786100000 2266556501500 2833195626875 3626490402400 4533113003000 5666391253750 9066226006000 11332782507500 14165978134375 18132452012000 22665565015000 28331956268750 45331130030000 56663912537500 90662260060000 113327825075000 226655650150000 453311300300000