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4301041442104 = 23111921129341609
BaseRepresentation
bin111110100101101010000…
…011000001110100111000
3120020011201222021110200001
4332211222003001310320
51030432013102121404
613051512100522344
7622511550022021
oct76455203016470
916204658243601
104301041442104
111409074847820
125956a20b03b4
13252781614574
1410c2588d9c48
1576d2ecd47a4
hex3e96a0c1d38

4301041442104 has 128 divisors (see below), whose sum is σ = 9336485088000. Its totient is φ = 1837009843200.

The previous prime is 4301041442101. The next prime is 4301041442147. The reversal of 4301041442104 is 4012441401034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4301041442101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103347252 + ... + 103388860.

It is an arithmetic number, because the mean of its divisors is an integer number (72941289750).

Almost surely, 24301041442104 is an apocalyptic number.

4301041442104 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 4301041442104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668242544000).

4301041442104 is an abundant number, since it is smaller than the sum of its proper divisors (5035443645896).

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

4301041442104 is a wasteful number, since it uses less digits than its factorization.

4301041442104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42149 (or 42145 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4301041442104 its reverse (4012441401034), we get a palindrome (8313482843138).

The spelling of 4301041442104 in words is "four trillion, three hundred one billion, forty-one million, four hundred forty-two thousand, one hundred four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 211 293 418 422 586 836 844 1172 1672 1688 2321 2344 3223 4009 4642 5567 6446 8018 9284 11134 12892 16036 18568 22268 25784 32072 41609 44099 44536 61237 61823 83218 88198 122474 123646 166436 176396 244948 247292 332872 352792 457699 489896 494584 680053 790571 915398 1174637 1360106 1581142 1830796 2349274 2720212 3162284 3661592 4698548 5440424 6324568 8696281 8779499 9397096 12191437 12921007 17392562 17558998 24382874 25842014 34785124 35117996 48765748 51684028 69570248 70235992 96574489 97531496 103368056 134105807 166810481 193148978 231637303 268211614 333620962 386297956 463274606 536423228 667241924 772595912 926549212 1072846456 1334483848 1834915291 1853098424 2548010333 2572393207 3669830582 5096020666 5144786414 7339661164 10192041332 10289572828 14679322328 20384082664 20579145656 28296325277 48875470933 56592650554 97750941866 113185301108 195501883732 226370602216 391003767464 537630180263 1075260360526 2150520721052 4301041442104