Search a number
-
+
30140785861760 = 275729322961959
BaseRepresentation
bin1101101101001101100101…
…10101011010010010000000
310221201102122012010112220102
412312212302311122102000
512422311312140034020
6144034252540501532
76230412525435530
oct666466265322200
9127642565115812
1030140785861760
1196706a9939822
1234695a024a8a8
1313a8357a73ab2
14762b711034c0
1537406e9cd475
hex1b69b2d5a480

30140785861760 has 128 divisors (see below), whose sum is σ = 82629990777600. Its totient is φ = 10298713706496.

The previous prime is 30140785861733. The next prime is 30140785861777. The reversal of 30140785861760 is 6716858704103.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 30140785861696 and 30140785861705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10168340 + ... + 12793619.

It is an arithmetic number, because the mean of its divisors is an integer number (645546802950).

Almost surely, 230140785861760 is an apocalyptic number.

It is an amenable number.

30140785861760 is an abundant number, since it is smaller than the sum of its proper divisors (52489204915840).

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

30140785861760 is a wasteful number, since it uses less digits than its factorization.

30140785861760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22962278 (or 22962266 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 30140785861760 in words is "thirty trillion, one hundred forty billion, seven hundred eighty-five million, eight hundred sixty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 293 320 448 560 586 640 896 1120 1172 1465 2051 2240 2344 2930 4102 4480 4688 5860 8204 9376 10255 11720 16408 18752 20510 23440 32816 37504 41020 46880 65632 82040 93760 131264 164080 187520 262528 328160 656320 1312640 22961959 45923918 91847836 114809795 160733713 183695672 229619590 321467426 367391344 459239180 642934852 734782688 803668565 918478360 1285869704 1469565376 1607337130 1836956720 2571739408 2939130752 3214674260 3673913440 5143478816 6429348520 6727853987 7347826880 10286957632 12858697040 13455707974 14695653760 20573915264 25717394080 26911415948 33639269935 47094977909 51434788160 53822831896 67278539870 94189955818 102869576320 107645663792 134557079740 188379911636 215291327584 235474889545 269114159480 376759823272 430582655168 470949779090 538228318960 753519646544 861165310336 941899558180 1076456637920 1507039293088 1883799116360 2152913275840 3014078586176 3767598232720 4305826551680 6028157172352 7535196465440 15070392930880 30140785861760