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30414540540 = 223517291028213
BaseRepresentation
bin11100010100110110…
…010000111011111100
32220111122022202002110
4130110312100323330
5444242110244130
621550001054020
72124462220566
oct342466207374
986448282073
1030414540540
111199824051a
125a89927310
132b39227b67
141687516336
15bd0210ab0
hex714d90efc

30414540540 has 96 divisors (see below), whose sum is σ = 93279574080. Its totient is φ = 7370223616.

The previous prime is 30414540509. The next prime is 30414540547. The reversal of 30414540540 is 4504541403.

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 = 30414540498 and 30414540507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30414540547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484527 + ... + 543686.

It is an arithmetic number, because the mean of its divisors is an integer number (971662230).

Almost surely, 230414540540 is an apocalyptic number.

30414540540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30414540540 is an abundant number, since it is smaller than the sum of its proper divisors (62865033540).

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

30414540540 is a wasteful number, since it uses less digits than its factorization.

30414540540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028271 (or 1028269 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 30414540540 in words is "thirty billion, four hundred fourteen million, five hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 255 290 340 348 435 493 510 580 870 986 1020 1479 1740 1972 2465 2958 4930 5916 7395 9860 14790 29580 1028213 2056426 3084639 4112852 5141065 6169278 10282130 12338556 15423195 17479621 20564260 29818177 30846390 34959242 52438863 59636354 61692780 69918484 87398105 89454531 104877726 119272708 149090885 174796210 178909062 209755452 262194315 298181770 349592420 357818124 447272655 506909009 524388630 596363540 894545310 1013818018 1048777260 1520727027 1789090620 2027636036 2534545045 3041454054 5069090090 6082908108 7603635135 10138180180 15207270270 30414540540