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34023022144 = 261927979459
BaseRepresentation
bin11111101011111011…
…100001111001000000
310020211010022121021021
4133223323201321000
51024134343202034
623344023235224
72313056626246
oct375373417100
9106733277237
1034023022144
111347a122121
1267162a8b14
1332929b7687
14190a872796
15d41dea6b4
hex7ebee1e40

34023022144 has 28 divisors (see below), whose sum is σ = 71067828400. Its totient is φ = 16116167808.

The previous prime is 34023022129. The next prime is 34023022151. The reversal of 34023022144 is 44122032043.

It is a happy number.

It is a super-2 number, since 2×340230221442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13988514 + ... + 13990945.

Almost surely, 234023022144 is an apocalyptic number.

It is an amenable number.

34023022144 is an abundant number, since it is smaller than the sum of its proper divisors (37044806256).

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

34023022144 is a wasteful number, since it uses less digits than its factorization.

34023022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27979490 (or 27979480 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34023022144 its reverse (44122032043), we get a palindrome (78145054187).

The spelling of 34023022144 in words is "thirty-four billion, twenty-three million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 27979459 55958918 111917836 223835672 447671344 531609721 895342688 1063219442 1790685376 2126438884 4252877768 8505755536 17011511072 34023022144