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34410012224140 = 2257298475372469
BaseRepresentation
bin1111101001011101101001…
…00011100010101010001100
311111211120020220201111220101
413310232310203202222030
514002233201112133030
6201103424050100444
710151020115660230
oct764566443425214
9144746226644811
1034410012224140
11aa67227919223
123a38a8357a724
131627b08c534a7
1486d64c4b45c0
153ea13b6527ca
hex1f4bb48e2a8c

34410012224140 has 48 divisors (see below), whose sum is σ = 85431754497600. Its totient is φ = 11390900596992.

The previous prime is 34410012224123. The next prime is 34410012224243. The reversal of 34410012224140 is 4142221001443.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34410012224099 and 34410012224108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4237682175 + ... + 4237690294.

It is an arithmetic number, because the mean of its divisors is an integer number (1779828218700).

Almost surely, 234410012224140 is an apocalyptic number.

It is an amenable number.

34410012224140 is an abundant number, since it is smaller than the sum of its proper divisors (51021742273460).

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

34410012224140 is a wasteful number, since it uses less digits than its factorization.

34410012224140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8475372514 (or 8475372512 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 34410012224140 its reverse (4142221001443), we get a palindrome (38552233225583).

The spelling of 34410012224140 in words is "thirty-four trillion, four hundred ten billion, twelve million, two hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 8475372469 16950744938 33901489876 42376862345 59327607283 84753724690 118655214566 169507449380 237310429132 245785801601 296638036415 491571603202 593276072830 983143206404 1186552145660 1228929008005 1720500611207 2457858016010 3441001222414 4915716032020 6882002444828 8602503056035 17205006112070 34410012224140