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4500431040 = 26357669707
BaseRepresentation
bin1000011000011111…
…10010000011000000
3102121122100120210010
410030033302003000
533204102243130
62022323504520
7216345014130
oct41417620300
912548316703
104500431040
1119aa4154a6
12a57228140
135694c7a61
143099bcac0
151b51760b0
hex10c3f20c0

4500431040 has 112 divisors (see below), whose sum is σ = 16330159872. Its totient is φ = 1028668416.

The previous prime is 4500431017. The next prime is 4500431077. The reversal of 4500431040 is 401340054.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4500430998 and 4500431016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328134 + ... + 341573.

Almost surely, 24500431040 is an apocalyptic number.

4500431040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4500431040 is an abundant number, since it is smaller than the sum of its proper divisors (11829728832).

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

4500431040 is a wasteful number, since it uses less digits than its factorization.

4500431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669734 (or 669724 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4500431040 is about 67085.2520305320. The cubic root of 4500431040 is about 1651.0163361984.

Adding to 4500431040 its reverse (401340054), we get a palindrome (4901771094).

The spelling of 4500431040 in words is "four billion, five hundred million, four hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 669707 1339414 2009121 2678828 3348535 4018242 4687949 5357656 6697070 8036484 9375898 10045605 10715312 13394140 14063847 16072968 18751796 20091210 21430624 23439745 26788280 28127694 32145936 37503592 40182420 42861248 46879490 53576560 56255388 64291872 70319235 75007184 80364840 93758980 107153120 112510776 128583744 140638470 150014368 160729680 187517960 214306240 225021552 281276940 300028736 321459360 375035920 450043104 562553880 642918720 750071840 900086208 1125107760 1500143680 2250215520 4500431040