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34133420440 = 2357121905073
BaseRepresentation
bin11111110010100000…
…101010100110011000
310021002211001102021001
4133302200222212120
51024401123423230
623403005354344
72315600200210
oct376240524630
9107084042231
1034133420440
1113526475a89
1267472689b4
1332ac82c102
14191b3ad240
15d4b9560ca
hex7f282a998

34133420440 has 32 divisors (see below), whose sum is σ = 87771653280. Its totient is φ = 11702886912.

The previous prime is 34133420417. The next prime is 34133420443. The reversal of 34133420440 is 4402433143.

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 = 34133420399 and 34133420408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34133420443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60952257 + ... + 60952816.

It is an arithmetic number, because the mean of its divisors is an integer number (2742864165).

Almost surely, 234133420440 is an apocalyptic number.

It is an amenable number.

34133420440 is an abundant number, since it is smaller than the sum of its proper divisors (53638232840).

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

34133420440 is a wasteful number, since it uses less digits than its factorization.

34133420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121905091 (or 121905087 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 34133420440 its reverse (4402433143), we get a palindrome (38535853583).

The spelling of 34133420440 in words is "thirty-four billion, one hundred thirty-three million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 121905073 243810146 487620292 609525365 853335511 975240584 1219050730 1706671022 2438101460 3413342044 4266677555 4876202920 6826684088 8533355110 17066710220 34133420440