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457102742240 = 2552856892139
BaseRepresentation
bin1101010011011010111…
…00100101001011100000
31121200212021110020021002
412221231130211023200
524442121300222430
6545553510051132
745011301126044
oct6515534451340
91550767406232
10457102742240
11166946643861
127470a949aa8
1334148a77a11
14181a3d56024
15bd54aee845
hex6a6d7252e0

457102742240 has 24 divisors (see below), whose sum is σ = 1079905228920. Its totient is φ = 182841096832.

The previous prime is 457102742227. The next prime is 457102742287. The reversal of 457102742240 is 42247201754.

It is a junction number, because it is equal to n+sod(n) for n = 457102742194 and 457102742203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1428445910 + ... + 1428446229.

It is an arithmetic number, because the mean of its divisors is an integer number (44996051205).

Almost surely, 2457102742240 is an apocalyptic number.

457102742240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457102742240 is an abundant number, since it is smaller than the sum of its proper divisors (622802486680).

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

457102742240 is a wasteful number, since it uses less digits than its factorization.

457102742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856892154 (or 2856892146 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 38.

Adding to 457102742240 its reverse (42247201754), we get a palindrome (499349943994).

The spelling of 457102742240 in words is "four hundred fifty-seven billion, one hundred two million, seven hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2856892139 5713784278 11427568556 14284460695 22855137112 28568921390 45710274224 57137842780 91420548448 114275685560 228551371120 457102742240