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4072144743 = 3231111031319
BaseRepresentation
bin1111001010110111…
…1111111101100111
3101111210110101102200
43302231333331213
531314432112433
61512024105543
7202624442052
oct36255777547
911453411380
104072144743
1117aa68a687
129579052b3
134cb861504
142a8b73a99
1518c776613
hexf2b7ff67

4072144743 has 24 divisors (see below), whose sum is σ = 5910727680. Its totient is φ = 2701530960.

The previous prime is 4072144709. The next prime is 4072144789. The reversal of 4072144743 is 3474412704.

It is a happy number.

It is not a de Polignac number, because 4072144743 - 26 = 4072144679 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4072144698 and 4072144707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072144943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3086638 + ... + 3087956.

It is an arithmetic number, because the mean of its divisors is an integer number (246280320).

Almost surely, 24072144743 is an apocalyptic number.

4072144743 is a deficient number, since it is larger than the sum of its proper divisors (1838582937).

4072144743 is a wasteful number, since it uses less digits than its factorization.

4072144743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 4072144743 is about 63813.3586563190. The cubic root of 4072144743 is about 1596.8877970403.

The spelling of 4072144743 in words is "four billion, seventy-two million, one hundred forty-four thousand, seven hundred forty-three".

Divisors: 1 3 9 311 933 1103 1319 2799 3309 3957 9927 11871 343033 410209 1029099 1230627 1454857 3087297 3691881 4364571 13093713 452460527 1357381581 4072144743