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4141042423120 = 2451632069153487
BaseRepresentation
bin111100010000101001010…
…111001101010101010000
3112122212202100220011101001
4330100221113031111100
51020321323330014440
612450211342351344
7605115614552641
oct74205127152520
915585670804331
104141042423120
11135722a544719
1256a68a88b554
1324066362c335
141045db19d6c8
1572ab848cb9a
hex3c4295cd550

4141042423120 has 80 divisors (see below), whose sum is σ = 9691735760640. Its totient is φ = 1645448504832.

The previous prime is 4141042423087. The next prime is 4141042423169. The reversal of 4141042423120 is 213242401414.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×41410424231202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 26903017 + ... + 27056503.

It is an arithmetic number, because the mean of its divisors is an integer number (121146697008).

Almost surely, 24141042423120 is an apocalyptic number.

4141042423120 is a gapful number since it is divisible by the number (40) 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 4141042423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845867880320).

4141042423120 is an abundant number, since it is smaller than the sum of its proper divisors (5550693337520).

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

4141042423120 is a wasteful number, since it uses less digits than its factorization.

4141042423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155732 (or 155726 counting only the distinct ones).

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

Adding to 4141042423120 its reverse (213242401414), we get a palindrome (4354284824534).

The spelling of 4141042423120 in words is "four trillion, one hundred forty-one billion, forty-two million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 652 815 1304 1630 2069 2608 3260 4138 6520 8276 10345 13040 16552 20690 33104 41380 82760 153487 165520 306974 337247 613948 674494 767435 1227896 1348988 1534870 1686235 2455792 2697976 3069740 3372470 5395952 6139480 6744940 12278960 13489880 25018381 26979760 50036762 100073524 125091905 200147048 250183810 317564603 400294096 500367620 635129206 1000735240 1270258412 1587823015 2001470480 2540516824 3175646030 5081033648 6351292060 12702584120 25405168240 51763030289 103526060578 207052121156 258815151445 414104242312 517630302890 828208484624 1035260605780 2070521211560 4141042423120