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34050154050 = 232521139717327
BaseRepresentation
bin11111101101100011…
…000001111001000010
310020220000101001020200
4133231203001321002
51024213314412200
623350432550030
72313536351103
oct375543017102
9106800331220
1034050154050
1113493473790
1267233b2316
1332984c7063
1419102d63aa
15d444a9800
hex7ed8c1e42

34050154050 has 144 divisors (see below), whose sum is σ = 100055060352. Its totient is φ = 8233315200.

The previous prime is 34050154037. The next prime is 34050154051. The reversal of 34050154050 is 5045105043.

It is not an unprimeable number, because it can be changed into a prime (34050154051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1956487 + ... + 1973813.

It is an arithmetic number, because the mean of its divisors is an integer number (694826808).

Almost surely, 234050154050 is an apocalyptic number.

34050154050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34050154050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50027530176).

34050154050 is an abundant number, since it is smaller than the sum of its proper divisors (66004906302).

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

34050154050 is a wasteful number, since it uses less digits than its factorization.

34050154050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17753 (or 17745 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 34050154050 its reverse (5045105043), we get a palindrome (39095259093).

The spelling of 34050154050 in words is "thirty-four billion, fifty million, one hundred fifty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 397 450 495 550 794 825 990 1191 1650 1985 2382 2475 3573 3970 4367 4950 5955 7146 8734 9925 11910 13101 17327 17865 19850 21835 26202 29775 34654 35730 39303 43670 51981 59550 65505 78606 86635 89325 103962 109175 131010 155943 173270 178650 190597 196515 218350 259905 311886 327525 381194 393030 433175 519810 571791 655050 779715 866350 952985 982575 1143582 1299525 1559430 1715373 1905970 1965150 2599050 2858955 3430746 3898575 4764925 5717910 6878819 7797150 8576865 9529850 13757638 14294775 17153730 20636457 28589550 34394095 41272914 42884325 61909371 68788190 75667009 85768650 103182285 123818742 151334018 171970475 206364570 227001027 309546855 343940950 378335045 454002054 515911425 619093710 681003081 756670090 1031822850 1135005135 1362006162 1547734275 1891675225 2270010270 3095468550 3405015405 3783350450 5675025675 6810030810 11350051350 17025077025 34050154050