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30143440040 = 2357163683967
BaseRepresentation
bin11100000100101100…
…000110010010101000
32212210202012102010012
4130010230012102220
5443213210040130
621503034311052
72114661004250
oct340454062250
985722172105
1030143440040
111186920571a
125a12b88488
132ac500816c
14165d506960
15bb650e995
hex704b064a8

30143440040 has 128 divisors (see below), whose sum is σ = 78182184960. Its totient is φ = 10245844224.

The previous prime is 30143440039. The next prime is 30143440049. The reversal of 30143440040 is 4004434103.

It is a junction number, because it is equal to n+sod(n) for n = 30143439988 and 30143440015.

It is not an unprimeable number, because it can be changed into a prime (30143440049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31171637 + ... + 31172603.

It is an arithmetic number, because the mean of its divisors is an integer number (610798320).

Almost surely, 230143440040 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 30143440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39091092480).

30143440040 is an abundant number, since it is smaller than the sum of its proper divisors (48038744920).

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

30143440040 is a wasteful number, since it uses less digits than its factorization.

30143440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 30143440040 its reverse (4004434103), we get a palindrome (34147874143).

The spelling of 30143440040 in words is "thirty billion, one hundred forty-three million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 163 280 326 652 683 815 967 1141 1304 1366 1630 1934 2282 2732 3260 3415 3868 4564 4781 4835 5464 5705 6520 6769 6830 7736 9128 9562 9670 11410 13538 13660 19124 19340 22820 23905 27076 27320 33845 38248 38680 45640 47810 54152 67690 95620 111329 135380 157621 191240 222658 270760 315242 445316 556645 630484 660461 779303 788105 890632 1103347 1113290 1260968 1320922 1558606 1576210 2206694 2226580 2641844 3117212 3152420 3302305 3896515 4413388 4453160 4623227 5283688 5516735 6234424 6304840 6604610 7793030 8826776 9246454 11033470 13209220 15586060 18492908 22066940 23116135 26418440 31172120 36985816 44133880 46232270 92464540 107655143 184929080 215310286 430620572 538275715 753586001 861241144 1076551430 1507172002 2153102860 3014344004 3767930005 4306205720 6028688008 7535860010 15071720020 30143440040