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3014775540 = 2232573764667
BaseRepresentation
bin1011001110110001…
…1101001011110100
321210002211110120100
42303230131023310
522133240304130
61215053034100
7134465112030
oct26354351364
97702743510
103014775540
111307842537
12701785930
1339078896a
142085711c0
15129a11c60
hexb3b1d2f4

3014775540 has 144 divisors (see below), whose sum is σ = 10733853312. Its totient is φ = 670457088.

The previous prime is 3014775509. The next prime is 3014775559. The reversal of 3014775540 is 455774103.

It is a happy number.

3014775540 is a `hidden beast` number, since 3 + 0 + 1 + 47 + 75 + 540 = 666.

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 = 3014775495 and 3014775504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14287 + ... + 78953.

It is an arithmetic number, because the mean of its divisors is an integer number (74540648).

Almost surely, 23014775540 is an apocalyptic number.

3014775540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3014775540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366926656).

3014775540 is an abundant number, since it is smaller than the sum of its proper divisors (7719077772).

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

3014775540 is a wasteful number, since it uses less digits than its factorization.

3014775540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64726 (or 64721 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 3014775540 is about 54906.9716884842. The cubic root of 3014775540 is about 1444.6134732416.

The spelling of 3014775540 in words is "three billion, fourteen million, seven hundred seventy-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 1036 1110 1260 1295 1332 1554 1665 2220 2331 2590 3108 3330 3885 4662 5180 6660 7770 9324 11655 15540 23310 46620 64667 129334 194001 258668 323335 388002 452669 582003 646670 776004 905338 970005 1164006 1293340 1358007 1810676 1940010 2263345 2328012 2392679 2716014 2910015 3880020 4074021 4526690 4785358 5432028 5820030 6790035 7178037 8148042 9053380 9570716 11640060 11963395 13580070 14356074 16296084 16748753 20370105 21534111 23926790 27160140 28712148 33497506 35890185 40740210 43068222 47853580 50246259 66995012 71780370 81480420 83743765 86136444 100492518 107670555 143560740 150738777 167487530 200985036 215341110 251231295 301477554 334975060 430682220 502462590 602955108 753693885 1004925180 1507387770 3014775540