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34221342144 = 2631116203287
BaseRepresentation
bin11111110111110000…
…000011110111000000
310021022221111022011110
4133313300003313000
51030041130422034
623415430043320
72321015415543
oct376760036700
9107287438143
1034221342144
1113571067950
1267707a9540
1332c4b040a2
141928d3885a
15d54521de9
hex7f7c03dc0

34221342144 has 56 divisors (see below), whose sum is σ = 98775243648. Its totient is φ = 10370103040.

The previous prime is 34221342131. The next prime is 34221342151. The reversal of 34221342144 is 44124312243.

It is a super-2 number, since 2×342213421442 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8099532 + ... + 8103755.

Almost surely, 234221342144 is an apocalyptic number.

It is an amenable number.

34221342144 is an abundant number, since it is smaller than the sum of its proper divisors (64553901504).

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

34221342144 is a wasteful number, since it uses less digits than its factorization.

34221342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16203313 (or 16203303 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 34221342144 its reverse (44124312243), we get a palindrome (78345654387).

The spelling of 34221342144 in words is "thirty-four billion, two hundred twenty-one million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 16203287 32406574 48609861 64813148 97219722 129626296 178236157 194439444 259252592 356472314 388878888 518505184 534708471 712944628 777757776 1037010368 1069416942 1425889256 1555515552 2138833884 2851778512 3111031104 4277667768 5703557024 8555335536 11407114048 17110671072 34221342144