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457114241080 = 23573152662931
BaseRepresentation
bin1101010011011100010…
…00011100100000111000
31121200220002002102201001
412221232020130200320
524442132221203310
6545555000334344
745011500640260
oct6515610344070
91550802072631
10457114241080
11166952088032
12747127743b4
133414b272873
14181a56aa7a0
15bd55b2193a
hex6a6e21c838

457114241080 has 64 divisors (see below), whose sum is σ = 1213353953280. Its totient is φ = 151669238400.

The previous prime is 457114241069. The next prime is 457114241081. The reversal of 457114241080 is 80142411754.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457114241081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26322786 + ... + 26340145.

It is an arithmetic number, because the mean of its divisors is an integer number (18958655520).

Almost surely, 2457114241080 is an apocalyptic number.

457114241080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457114241080 is an abundant number, since it is smaller than the sum of its proper divisors (756239712200).

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

457114241080 is a wasteful number, since it uses less digits than its factorization.

457114241080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52662980 (or 52662976 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The spelling of 457114241080 in words is "four hundred fifty-seven billion, one hundred fourteen million, two hundred forty-one thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 8680 52662931 105325862 210651724 263314655 368640517 421303448 526629310 737281034 1053258620 1474562068 1632550861 1843202585 2106517240 2949124136 3265101722 3686405170 6530203444 7372810340 8162754305 11427856027 13060406888 14745620680 16325508610 22855712054 32651017220 45711424108 57139280135 65302034440 91422848216 114278560270 228557120540 457114241080