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243416680960 = 295113841457
BaseRepresentation
bin1110001010110011000…
…0111100101000000000
3212021022010102121011011
43202230300330220000
512442004132242320
6303454000130304
723405043435535
oct3425460745000
9767263377134
10243416680960
1194261409212
123b213906994
1319c531b803b
14bad235cd8c
1564e9dab05a
hex38acc3ca00

243416680960 has 80 divisors (see below), whose sum is σ = 588795089256. Its totient is φ = 96504905728.

The previous prime is 243416680957. The next prime is 243416680987. The reversal of 243416680960 is 69086614342.

It can be written as a sum of positive squares in 4 ways, for example, as 197263892736 + 46152788224 = 444144^2 + 214832^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131449 + ... + 710008.

Almost surely, 2243416680960 is an apocalyptic number.

243416680960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243416680960 is an abundant number, since it is smaller than the sum of its proper divisors (345378408296).

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

243416680960 is an equidigital number, since it uses as much as digits as its factorization.

243416680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841593 (or 841577 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

The spelling of 243416680960 in words is "two hundred forty-three billion, four hundred sixteen million, six hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 256 320 452 512 565 640 904 1130 1280 1808 2260 2560 3616 4520 7232 9040 14464 18080 28928 36160 57856 72320 144640 289280 841457 1682914 3365828 4207285 6731656 8414570 13463312 16829140 26926624 33658280 53853248 67316560 95084641 107706496 134633120 190169282 215412992 269266240 380338564 430825984 475423205 538532480 760677128 950846410 1077064960 1521354256 1901692820 2154129920 3042708512 3803385640 6085417024 7606771280 12170834048 15213542560 24341668096 30427085120 48683336192 60854170240 121708340480 243416680960