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34050414143220 = 223510917330095291
BaseRepresentation
bin1111011110111111110101…
…10101101110011011110100
311110120012001220111021201220
413233133322311232123310
513430340222010040340
6200230313323150340
710113030001503606
oct757377265563364
9143505056437656
1034050414143220
11a9387771006a2
12399b2469753b0
1315ccc2ba2b657
1485a098023176
153e0ae1b82ed0
hex1ef7fad6e6f4

34050414143220 has 96 divisors (see below), whose sum is σ = 96772013331840. Its totient is φ = 8944801712640.

The previous prime is 34050414143201. The next prime is 34050414143227. The reversal of 34050414143220 is 2234141405043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34050414143227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13916226 + ... + 16179065.

It is an arithmetic number, because the mean of its divisors is an integer number (1008041805540).

Almost surely, 234050414143220 is an apocalyptic number.

34050414143220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34050414143220 is an abundant number, since it is smaller than the sum of its proper divisors (62721599188620).

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

34050414143220 is a wasteful number, since it uses less digits than its factorization.

34050414143220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30095585 (or 30095583 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 34050414143220 its reverse (2234141405043), we get a palindrome (36284555548263).

The spelling of 34050414143220 in words is "thirty-four trillion, fifty billion, four hundred fourteen million, one hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 173 218 327 346 436 519 545 654 692 865 1038 1090 1308 1635 1730 2076 2180 2595 3270 3460 5190 6540 10380 18857 37714 56571 75428 94285 113142 188570 226284 282855 377140 565710 1131420 30095291 60190582 90285873 120381164 150476455 180571746 300952910 361143492 451429365 601905820 902858730 1805717460 3280386719 5206485343 6560773438 9841160157 10412970686 13121546876 15619456029 16401933595 19682320314 20825941372 26032426715 31238912058 32803867190 39364640628 49205800785 52064853430 62477824116 65607734380 78097280145 98411601570 104129706860 156194560290 196823203140 312389120580 567506902387 1135013804774 1702520707161 2270027609548 2837534511935 3405041414322 5675069023870 6810082828644 8512603535805 11350138047740 17025207071610 34050414143220