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4202400023 = 37791499649
BaseRepresentation
bin1111101001111011…
…1000100100010111
3101211212120001002022
43322132320210113
532101303300043
61533000003355
7206065545053
oct37236704427
911755501068
104202400023
111867166378
1299346055b
1351c839243
142bc19cc63
15198e05868
hexfa7b8917

4202400023 has 16 divisors (see below), whose sum is σ = 4400400000. Its totient is φ = 4009554432.

The previous prime is 4202399969. The next prime is 4202400029. The reversal of 4202400023 is 3200042024.

4202400023 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4202400023 - 214 = 4202383639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4202399974 and 4202400010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202400029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 430703 + ... + 440351.

It is an arithmetic number, because the mean of its divisors is an integer number (275025000).

Almost surely, 24202400023 is an apocalyptic number.

4202400023 is a deficient number, since it is larger than the sum of its proper divisors (197999977).

4202400023 is a wasteful number, since it uses less digits than its factorization.

4202400023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9914.

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 4202400023 is about 64825.9209190274. The cubic root of 4202400023 is about 1613.7359101922.

Adding to 4202400023 its reverse (3200042024), we get a palindrome (7402442047).

The spelling of 4202400023 in words is "four billion, two hundred two million, four hundred thousand, twenty-three".

Divisors: 1 37 79 149 2923 5513 9649 11771 357013 435527 762271 1437701 28204027 53194937 113578379 4202400023