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2300503452240 = 243571369347293
BaseRepresentation
bin100001011110100000101…
…100001110101001010000
322010221000001002220100110
4201132200230032221100
5300142412340432430
64520500420521320
7325130422463250
oct41364054165120
98127001086313
102300503452240
11807702252214
12311a29b50240
13138c237864c6
147d4b8805960
153ec949877b0
hex217a0b0ea50

2300503452240 has 80 divisors (see below), whose sum is σ = 8150355093888. Its totient is φ = 525829360128.

The previous prime is 2300503452239. The next prime is 2300503452287. The reversal of 2300503452240 is 422543050032.

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

It is a super-2 number, since 2×23005034522402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2300503452198 and 2300503452207.

It is a congruent number.

It is an unprimeable number.

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, 684671967 + ... + 684675326.

Almost surely, 22300503452240 is an apocalyptic number.

2300503452240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300503452240 is an abundant number, since it is smaller than the sum of its proper divisors (5849851641648).

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

2300503452240 is a wasteful number, since it uses less digits than its factorization.

2300503452240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369347316 (or 1369347310 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 2300503452240 in words is "two trillion, three hundred billion, five hundred three million, four hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1369347293 2738694586 4108041879 5477389172 6846736465 8216083758 9585431051 10954778344 13693472930 16432167516 19170862102 20540209395 21909556688 27386945860 28756293153 32864335032 38341724204 41080418790 47927155255 54773891720 57512586306 65728670064 76683448408 82160837580 95854310510 109547783440 115025172612 143781465765 153366896816 164321675160 191708621020 230050345224 287562931530 328643350320 383417242040 460100690448 575125863060 766834484080 1150251726120 2300503452240