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4304112724164 = 22311431256960331
BaseRepresentation
bin111110101000100001000…
…111000010100011000100
3120020110200000102202121110
4332220201013002203010
51031004310324133124
613053140533045020
7622650632341101
oct76504107024304
916213600382543
104304112724164
11140a400474460
125961ba786770
13252b509c6026
1410c46a779aa8
1576e5e759029
hex3ea211c28c4

4304112724164 has 96 divisors (see below), whose sum is σ = 11211789980160. Its totient is φ = 1273822099200.

The previous prime is 4304112724129. The next prime is 4304112724189. The reversal of 4304112724164 is 4614272114034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71311479 + ... + 71371809.

It is an arithmetic number, because the mean of its divisors is an integer number (116789478960).

Almost surely, 24304112724164 is an apocalyptic number.

4304112724164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4304112724164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605894990080).

4304112724164 is an abundant number, since it is smaller than the sum of its proper divisors (6907677255996).

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

4304112724164 is a wasteful number, since it uses less digits than its factorization.

4304112724164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72961 (or 72959 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

Adding to 4304112724164 its reverse (4614272114034), we get a palindrome (8918384838198).

The spelling of 4304112724164 in words is "four trillion, three hundred four billion, one hundred twelve million, seven hundred twenty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 2838 5676 12569 25138 37707 50276 60331 75414 120662 138259 150828 180993 241324 276518 361986 414777 540467 553036 663641 723972 829554 1080934 1327282 1621401 1659108 1990923 2161868 2594233 2654564 3242802 3981846 5188466 5945137 6485604 7782699 7963692 10376932 11890274 15565398 17835411 23780548 28536563 31130796 35670822 57073126 71341644 85609689 114146252 171219378 342438756 758300339 1516600678 2274901017 3033201356 4549802034 8341303729 9099604068 16682607458 25023911187 32606914577 33365214916 50047822374 65213829154 97820743731 100095644748 130427658308 195641487462 358676060347 391282974924 717352120694 1076028181041 1434704241388 2152056362082 4304112724164