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243393957120 = 283566919473
BaseRepresentation
bin1110001010101101101…
…0010000110100000000
3212021020112200002220110
43202223122100310000
512441432323111440
6303451425111320
723404346333346
oct3425332206400
9767215602813
10243393957120
119424a5a8486
123b208188540
1319c4b58cb92
14bacd325996
1564e7dbd080
hex38ab690d00

243393957120 has 144 divisors (see below), whose sum is σ = 777537698112. Its totient is φ = 64888504320.

The previous prime is 243393957119. The next prime is 243393957127. The reversal of 243393957120 is 21759393342.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 243393957120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243393957127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25688704 + ... + 25698176.

It is an arithmetic number, because the mean of its divisors is an integer number (5399567348).

Almost surely, 2243393957120 is an apocalyptic number.

243393957120 is a gapful number since it is divisible by the number (20) 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 243393957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388768849056).

243393957120 is an abundant number, since it is smaller than the sum of its proper divisors (534143740992).

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

243393957120 is an equidigital number, since it uses as much as digits as its factorization.

243393957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16188 (or 16174 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 48.

The spelling of 243393957120 in words is "two hundred forty-three billion, three hundred ninety-three million, nine hundred fifty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 6691 9473 13382 18946 20073 26764 28419 33455 37892 40146 47365 53528 56838 66910 75784 80292 94730 100365 107056 113676 133820 142095 151568 160584 189460 200730 214112 227352 267640 284190 303136 321168 378920 401460 428224 454704 535280 568380 606272 642336 757840 802920 856448 909408 1070560 1136760 1212544 1284672 1515680 1605840 1712896 1818816 2141120 2273520 2425088 2569344 3031360 3211680 3637632 4282240 4547040 5138688 6062720 6423360 7275264 8564480 9094080 12125440 12846720 18188160 25693440 36376320 63383843 126767686 190151529 253535372 316919215 380303058 507070744 633838430 760606116 950757645 1014141488 1267676860 1521212232 1901515290 2028282976 2535353720 3042424464 3803030580 4056565952 5070707440 6084848928 7606061160 8113131904 10141414880 12169697856 15212122320 16226263808 20282829760 24339395712 30424244640 40565659520 48678791424 60848489280 81131319040 121696978560 243393957120