Search a number
-
+
243314017680 = 243531101323797
BaseRepresentation
bin1110001010011010100…
…1010100010110010000
3212021000222020202121110
43202212221110112100
512441301342031210
6303435451453320
723402356011636
oct3424651242620
9767028222543
10243314017680
1194209468828
123b1a5457240
1319c37b51236
14bac2877356
1564e0d7c420
hex38a6a54590

243314017680 has 160 divisors (see below), whose sum is σ = 786316243968. Its totient is φ = 62168832000.

The previous prime is 243314017679. The next prime is 243314017741. The reversal of 243314017680 is 86710413342.

It is a super-2 number, since 2×2433140176802 (a number of 24 digits) contains 22 as substring.

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, 589542 + ... + 913338.

Almost surely, 2243314017680 is an apocalyptic number.

243314017680 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 243314017680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393158121984).

243314017680 is an abundant number, since it is smaller than the sum of its proper divisors (543002226288).

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

243314017680 is a wasteful number, since it uses less digits than its factorization.

243314017680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323945 (or 323939 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 243314017680 in words is "two hundred forty-three billion, three hundred fourteen million, seventeen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 101 120 124 155 186 202 240 248 303 310 372 404 465 496 505 606 620 744 808 930 1010 1212 1240 1488 1515 1616 1860 2020 2424 2480 3030 3131 3720 4040 4848 6060 6262 7440 8080 9393 12120 12524 15655 18786 24240 25048 31310 37572 46965 50096 62620 75144 93930 125240 150288 187860 250480 323797 375720 647594 751440 971391 1295188 1618985 1942782 2590376 3237970 3885564 4856955 5180752 6475940 7771128 9713910 10037707 12951880 15542256 19427820 20075414 25903760 30113121 32703497 38855640 40150828 50188535 60226242 65406994 77711280 80301656 98110491 100377070 120452484 130813988 150565605 160603312 163517485 196220982 200754140 240904968 261627976 301131210 327034970 392441964 401508280 481809936 490552455 523255952 602262420 654069940 784883928 803016560 981104910 1013808407 1204524840 1308139880 1569767856 1962209820 2027616814 2409049680 2616279760 3041425221 3924419640 4055233628 5069042035 6082850442 7848839280 8110467256 10138084070 12165700884 15207126105 16220934512 20276168140 24331401768 30414252210 40552336280 48662803536 60828504420 81104672560 121657008840 243314017680