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30432443440140 = 2233578050910963
BaseRepresentation
bin1101110101101100110101…
…11110110001110000001100
310222202022110022022122121000
412322312122332301300030
512442101121010041030
6144420245502540300
76260446214106240
oct672663276616014
9128668408278530
1030432443440140
119773365a4a1a5
1234b6017897690
1313c99c842a941
14772d1c2c4420
1537b93eaa3860
hex1bad9afb1c0c

30432443440140 has 96 divisors (see below), whose sum is σ = 108204243356160. Its totient is φ = 6955987071168.

The previous prime is 30432443440093. The next prime is 30432443440159. The reversal of 30432443440140 is 4104434423403.

30432443440140 is a `hidden beast` number, since 3 + 0 + 4 + 3 + 244 + 3 + 4 + 401 + 4 + 0 = 666.

It is a super-2 number, since 2×304324434401402 (a number of 28 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 = 30432443440095 and 30432443440104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4025451702 + ... + 4025459261.

It is an arithmetic number, because the mean of its divisors is an integer number (1127127534960).

Almost surely, 230432443440140 is an apocalyptic number.

30432443440140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30432443440140 is an abundant number, since it is smaller than the sum of its proper divisors (77771799916020).

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

30432443440140 is a wasteful number, since it uses less digits than its factorization.

30432443440140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8050910988 (or 8050910980 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 30432443440140 its reverse (4104434423403), we get a palindrome (34536877863543).

The spelling of 30432443440140 in words is "thirty trillion, four hundred thirty-two billion, four hundred forty-three million, four hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 8050910963 16101821926 24152732889 32203643852 40254554815 48305465778 56356376741 72458198667 80509109630 96610931556 112712753482 120763664445 144916397334 161018219260 169069130223 217374596001 225425506964 241527328890 281781883705 289832794668 338138260446 362290993335 434749192002 483054657780 507207390669 563563767410 676276520892 724581986670 845345651115 869498384004 1014414781338 1086872980005 1127127534820 1449163973340 1521622172007 1690691302230 2028829562676 2173745960010 2536036953345 3043244344014 3381382604460 4347491920020 5072073906690 6086488688028 7608110860035 10144147813380 15216221720070 30432443440140