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3045727110240 = 253252115088271
BaseRepresentation
bin101100010100100011011…
…110111000010001100000
3101210011112221220011020200
4230110203132320101200
5344400122120011430
610251104314105200
7433021646165223
oct54244336702140
911704487804220
103045727110240
11a7475a608481
12412347a1b200
13191298282c99
14a75b1d595ba
155435de0c460
hex2c5237b8460

3045727110240 has 72 divisors (see below), whose sum is σ = 10393543768608. Its totient is φ = 812193895680.

The previous prime is 3045727110229. The next prime is 3045727110253. The reversal of 3045727110240 is 420117275403.

3045727110240 is a `hidden beast` number, since 3 + 0 + 4 + 572 + 71 + 10 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×30457271102402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3045727110195 and 3045727110204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1057542696 + ... + 1057545575.

It is an arithmetic number, because the mean of its divisors is an integer number (144354774564).

Almost surely, 23045727110240 is an apocalyptic number.

3045727110240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3045727110240 is an abundant number, since it is smaller than the sum of its proper divisors (7347816658368).

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

3045727110240 is a wasteful number, since it uses less digits than its factorization.

3045727110240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115088292 (or 2115088281 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 3045727110240 in words is "three trillion, forty-five billion, seven hundred twenty-seven million, one hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2115088271 4230176542 6345264813 8460353084 10575441355 12690529626 16920706168 19035794439 21150882710 25381059252 31726324065 33841412336 38071588878 42301765420 50762118504 63452648130 67682824672 76143177756 84603530840 95178972195 101524237008 126905296260 152286355512 169207061680 190357944390 203048474016 253810592520 304572711024 338414123360 380715888780 507621185040 609145422048 761431777560 1015242370080 1522863555120 3045727110240