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34054041021 = 37211131620001
BaseRepresentation
bin11111101101110001…
…110110110110111101
310020220021200112011120
4133231301312312331
51024220313303041
623351052141153
72313614400300
oct375561666675
9106807615146
1034054041021
1113495689060
1267247677b9
133299258340
141910a28b37
15d449c6366
hex7edc76dbd

34054041021 has 48 divisors (see below), whose sum is σ = 62052556608. Its totient is φ = 16329600000.

The previous prime is 34054041001. The next prime is 34054041037. The reversal of 34054041021 is 12014045043.

It is not a de Polignac number, because 34054041021 - 27 = 34054040893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34054040982 and 34054041000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34054041001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 788980 + ... + 831021.

It is an arithmetic number, because the mean of its divisors is an integer number (1292761596).

Almost surely, 234054041021 is an apocalyptic number.

It is an amenable number.

34054041021 is a deficient number, since it is larger than the sum of its proper divisors (27998515587).

34054041021 is a wasteful number, since it uses less digits than its factorization.

34054041021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620042 (or 1620035 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 34054041021 its reverse (12014045043), we get a palindrome (46068086064).

The spelling of 34054041021 in words is "thirty-four billion, fifty-four million, forty-one thousand, twenty-one".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1001 1617 1911 3003 7007 21021 1620001 4860003 11340007 17820011 21060013 34020021 53460033 63180039 79380049 124740077 147420091 231660143 238140147 374220231 442260273 694980429 873180539 1031940637 1621621001 2619541617 3095821911 4864863003 11351347007 34054041021