Search a number
-
+
243312055143120 = 24325337933409921
BaseRepresentation
bin110111010100101010000000…
…100111011100101011010000
31011220111101221110122002120100
4313110222000213130223100
5223342411042104034440
62221252003130012400
7102151500355522665
oct6724520047345320
91156441843562510
10243312055143120
1170588076aa5897
122335760ab77100
13a59c2c78b6002
14441251b1cba6c
151d1e1891c3230
hexdd4a809dcad0

243312055143120 has 60 divisors (see below), whose sum is σ = 817122985191396. Its totient is φ = 64883214704640.

The previous prime is 243312055143043. The next prime is 243312055143137. The reversal of 243312055143120 is 21341550213342.

243312055143120 is a `hidden beast` number, since 2 + 4 + 3 + 3 + 12 + 0 + 5 + 514 + 3 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116276884646976 + 127035170496144 = 10783176^2 + 11270988^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168966704241 + ... + 168966705680.

Almost surely, 2243312055143120 is an apocalyptic number.

243312055143120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243312055143120 is an abundant number, since it is smaller than the sum of its proper divisors (573810930048276).

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

243312055143120 is a wasteful number, since it uses less digits than its factorization.

243312055143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337933409940 (or 337933409931 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 243312055143120 in words is "two hundred forty-three trillion, three hundred twelve billion, fifty-five million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 337933409921 675866819842 1013800229763 1351733639684 1689667049605 2027600459526 2703467279368 3041400689289 3379334099210 4055200919052 5069001148815 5406934558736 6082801378578 6758668198420 8110401838104 10138002297630 12165602757156 13517336396840 15207003446445 16220803676208 20276004595260 24331205514312 27034672793680 30414006892890 40552009190520 48662411028624 60828013785780 81104018381040 121656027571560 243312055143120