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4003031040 = 21135130307
BaseRepresentation
bin1110111010011001…
…0110100000000000
3101022222102001020220
43232212112200000
531144233443130
61501114503040
7201125126301
oct35646264000
911288361226
104003031040
111774674518
12938734a80
134ba443228
1429d9027a8
15186673410
hexee996800

4003031040 has 96 divisors (see below), whose sum is σ = 12806670240. Its totient is φ = 1067466752.

The previous prime is 4003031033. The next prime is 4003031083. The reversal of 4003031040 is 401303004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34434 + ... + 95873.

It is an arithmetic number, because the mean of its divisors is an integer number (133402815).

Almost surely, 24003031040 is an apocalyptic number.

4003031040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4003031040 is an abundant number, since it is smaller than the sum of its proper divisors (8803639200).

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

4003031040 is a wasteful number, since it uses less digits than its factorization.

4003031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130337 (or 130317 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4003031040 is about 63269.5111408331. The cubic root of 4003031040 is about 1587.8019070750.

Adding to 4003031040 its reverse (401303004), we get a palindrome (4404334044).

The spelling of 4003031040 in words is "four billion, three million, thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 130307 260614 390921 521228 651535 781842 1042456 1303070 1563684 1954605 2084912 2606140 3127368 3909210 4169824 5212280 6254736 7818420 8339648 10424560 12509472 15636840 16679296 20849120 25018944 31273680 33358592 41698240 50037888 62547360 66717184 83396480 100075776 125094720 133434368 166792960 200151552 250189440 266868736 333585920 400303104 500378880 667171840 800606208 1000757760 1334343680 2001515520 4003031040