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30123021424440 = 2335759607809149
BaseRepresentation
bin1101101100101100011111…
…11111011101011100111000
310221122201210011012122010110
412312112033333131130320
512422013421441040230
6144022154111144320
76226213360265220
oct666261777353470
9127581704178113
1030123021424440
11966411331a06a
123466062b150a0
1313a678659c719
14761d67ab5080
153738801564b0
hex1b658ffdd738

30123021424440 has 128 divisors (see below), whose sum is σ = 105029421120000. Its totient is φ = 6768562672128.

The previous prime is 30123021424429. The next prime is 30123021424487. The reversal of 30123021424440 is 4442412032103.

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 = 30123021424398 and 30123021424407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303855015 + ... + 303954134.

It is an arithmetic number, because the mean of its divisors is an integer number (820542352500).

Almost surely, 230123021424440 is an apocalyptic number.

30123021424440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30123021424440 is an abundant number, since it is smaller than the sum of its proper divisors (74906399695560).

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

30123021424440 is a wasteful number, since it uses less digits than its factorization.

30123021424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607809229 (or 607809225 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 30123021424440 its reverse (4442412032103), we get a palindrome (34565433456543).

The spelling of 30123021424440 in words is "thirty trillion, one hundred twenty-three billion, twenty-one million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 59 60 70 84 105 118 120 140 168 177 210 236 280 295 354 413 420 472 590 708 826 840 885 1180 1239 1416 1652 1770 2065 2360 2478 3304 3540 4130 4956 6195 7080 8260 9912 12390 16520 24780 49560 607809149 1215618298 1823427447 2431236596 3039045745 3646854894 4254664043 4862473192 6078091490 7293709788 8509328086 9117137235 12156182980 12763992129 14587419576 17018656172 18234274470 21273320215 24312365960 25527984258 34037312344 35860739791 36468548940 42546640430 51055968516 63819960645 71721479582 72937097880 85093280860 102111937032 107582219373 127639921290 143442959164 170186561720 179303698955 215164438746 251025178537 255279842580 286885918328 358607397910 430328877492 502050357074 510559685160 537911096865 717214795820 753075535611 860657754984 1004100714148 1075822193730 1255125892685 1434429591640 1506151071222 2008201428296 2151644387460 2510251785370 3012302142444 3765377678055 4303288774920 5020503570740 6024604284888 7530755356110 10041007141480 15061510712220 30123021424440