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4134223340 = 2251322694547
BaseRepresentation
bin1111011001101011…
…0011110111101100
3101200010021022020222
43312122303313230
531431330121330
61522122430512
7204310214162
oct36632636754
911603238228
104134223340
111831730205
12974662438
1350b688600
142b30d3232
15192e3a0e5
hexf66b3dec

4134223340 has 72 divisors (see below), whose sum is σ = 9438100560. Its totient is φ = 1520473344.

The previous prime is 4134223321. The next prime is 4134223351. The reversal of 4134223340 is 433224314.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 906947 + ... + 911493.

It is an arithmetic number, because the mean of its divisors is an integer number (131084730).

Almost surely, 24134223340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134223340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719050280).

4134223340 is an abundant number, since it is smaller than the sum of its proper divisors (5303877220).

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

4134223340 is a wasteful number, since it uses less digits than its factorization.

4134223340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4851 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 4134223340 is about 64297.9264051338. The cubic root of 4134223340 is about 1604.9615955977.

Adding to 4134223340 its reverse (433224314), we get a palindrome (4567447654).

The spelling of 4134223340 in words is "four billion, one hundred thirty-four million, two hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 269 338 538 676 845 1076 1345 1690 2690 3380 3497 4547 5380 6994 9094 13988 17485 18188 22735 34970 45461 45470 59111 69940 90922 90940 118222 181844 227305 236444 295555 454610 591110 768443 909220 1182220 1223143 1536886 2446286 3073772 3842215 4892572 6115715 7684430 12231430 15368860 15900859 24462860 31801718 63603436 79504295 159008590 206711167 318017180 413422334 826844668 1033555835 2067111670 4134223340