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30013142420140 = 225112109659172657
BaseRepresentation
bin1101101001011111110101…
…01100010100101010101100
310221021020011111110212122121
412310233322230110222230
512413213403424421030
6143455503002522324
76215243435204005
oct664577254245254
9127236144425577
1030013142420140
119621558500900
1234488b88063a4
1313992c5187a09
1475a9029ca1ac
15370a9d9ae47a
hex1b4bfab14aac

30013142420140 has 144 divisors (see below), whose sum is σ = 70020346888800. Its totient is φ = 10797270865920.

The previous prime is 30013142420101. The next prime is 30013142420143. The reversal of 30013142420140 is 4102424131003.

It is not an unprimeable number, because it can be changed into a prime (30013142420143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173744692 + ... + 173917348.

It is an arithmetic number, because the mean of its divisors is an integer number (486252408950).

Almost surely, 230013142420140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30013142420140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35010173444400).

30013142420140 is an abundant number, since it is smaller than the sum of its proper divisors (40007204468660).

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

30013142420140 is a wasteful number, since it uses less digits than its factorization.

30013142420140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173456 (or 173443 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 30013142420140 its reverse (4102424131003), we get a palindrome (34115566551143).

The spelling of 30013142420140 in words is "thirty trillion, thirteen billion, one hundred forty-two million, four hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 121 218 220 242 436 484 545 605 659 1090 1199 1210 1318 2180 2398 2420 2636 3295 4796 5995 6590 7249 11990 13180 13189 14498 23980 26378 28996 36245 52756 65945 71831 72490 79739 131890 143662 144980 159478 172657 263780 287324 318956 345314 359155 398695 690628 718310 790141 797390 863285 1436620 1580282 1594780 1726570 1899227 3160564 3453140 3798454 3950705 7596908 7901410 8691551 9496135 15802820 17383102 18819613 18992270 20891497 34766204 37639226 37984540 41782994 43457755 75278452 83565988 86915510 94098065 104457485 113780963 173831020 188196130 207015743 208914970 227561926 376392260 414031486 417829940 455123852 568904815 828062972 1035078715 1137809630 1251590593 2070157430 2275619260 2277173173 2503181186 4140314860 4554346346 5006362372 6257952965 9108692692 11385865865 12402124967 12515905930 13767496523 22771731730 24804249934 25031811860 27534993046 45543463460 49608499868 55069986092 62010624835 68837482615 124021249670 136423374637 137674965230 248042499340 272846749274 275349930460 545693498548 682116873185 1364233746370 1500657121007 2728467492740 3001314242014 6002628484028 7503285605035 15006571210070 30013142420140