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4073444161431 = 31499739935707
BaseRepresentation
bin111011010001101100001…
…100010011011110010111
3112102102021022211200002020
4323101230030103132113
51013214403201131211
612355151525144223
7600203513036541
oct73215414233627
915372238750066
104073444161431
1113305a1042147
1255956425b073
1323717c95b918
1410122753a691
1570e5db48306
hex3b46c313797

4073444161431 has 16 divisors (see below), whose sum is σ = 5468277552000. Its totient is φ = 2697123888288.

The previous prime is 4073444161427. The next prime is 4073444161439. The reversal of 4073444161431 is 1341614443704.

It is not a de Polignac number, because 4073444161431 - 22 = 4073444161427 is a prime.

It is a super-3 number, since 3×40734441614313 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4073444161439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3885480 + ... + 4821186.

It is an arithmetic number, because the mean of its divisors is an integer number (341767347000).

Almost surely, 24073444161431 is an apocalyptic number.

4073444161431 is a deficient number, since it is larger than the sum of its proper divisors (1394833390569).

4073444161431 is a wasteful number, since it uses less digits than its factorization.

4073444161431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945598.

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 4073444161431 in words is "four trillion, seventy-three billion, four hundred forty-four million, one hundred sixty-one thousand, four hundred thirty-one".

Divisors: 1 3 149 447 9739 29217 935707 1451111 2807121 4353333 139420343 418261029 9112850473 27338551419 1357814720477 4073444161431