Search a number
-
+
243334031268060 = 223251779520925251
BaseRepresentation
bin110111010100111110011110…
…011111101101100011011100
31011220120111200000120220121200
4313110332132133231203130
5223343241044001034220
62221310035530355500
7102153206064513045
oct6724763637554334
91156514600526550
10243334031268060
1170596423a44817
122335b92288bb90
13a5a13ba7c8b35
144413603b158cc
151d1ea23687890
hexdd4f9e7ed8dc

243334031268060 has 72 divisors (see below), whose sum is σ = 781531653376656. Its totient is φ = 61072070592000.

The previous prime is 243334031268019. The next prime is 243334031268079. The reversal of 243334031268060 is 60862130433342.

243334031268060 is a `hidden beast` number, since 2 + 43 + 3 + 3 + 403 + 126 + 80 + 6 + 0 = 666.

It is a super-2 number, since 2×2433340312680602 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 243334031267997 and 243334031268015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39760459566 + ... + 39760465685.

It is an arithmetic number, because the mean of its divisors is an integer number (10854606296898).

Almost surely, 2243334031268060 is an apocalyptic number.

243334031268060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243334031268060 is an abundant number, since it is smaller than the sum of its proper divisors (538197622108596).

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

243334031268060 is a wasteful number, since it uses less digits than its factorization.

243334031268060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79520925283 (or 79520925278 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 243334031268060 in words is "two hundred forty-three trillion, three hundred thirty-four billion, thirty-one million, two hundred sixty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 79520925251 159041850502 238562775753 318083701004 397604626255 477125551506 715688327259 795209252510 954251103012 1192813878765 1351855729267 1431376654518 1590418505020 2385627757530 2703711458534 2862753309036 3578441636295 4055567187801 4771255515060 5407422917068 6759278646335 7156883272590 8111134375602 12166701563403 13518557292670 14313766545180 16222268751204 20277835939005 24333403126806 27037114585340 40555671878010 48666806253612 60833507817015 81111343756020 121667015634030 243334031268060