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4141430230240 = 255149173717711
BaseRepresentation
bin111100010001000000011…
…110100100110011100000
3112122220202101121210201201
4330101000132210303200
51020323122114331430
612450314034410544
7605131334062642
oct74210036446340
915586671553651
104141430230240
111357409441976
1256a778730a54
132406c5a91bc4
141046368ac892
1572adc5438ca
hex3c4407a4ce0

4141430230240 has 48 divisors (see below), whose sum is σ = 9849794270400. Its totient is φ = 1645454149120.

The previous prime is 4141430230169. The next prime is 4141430230247. The reversal of 4141430230240 is 420320341414.

It is a junction number, because it is equal to n+sod(n) for n = 4141430230199 and 4141430230208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141430230247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 86835016 + ... + 86882695.

It is an arithmetic number, because the mean of its divisors is an integer number (205204047300).

Almost surely, 24141430230240 is an apocalyptic number.

4141430230240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141430230240 is an abundant number, since it is smaller than the sum of its proper divisors (5708364040160).

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

4141430230240 is a wasteful number, since it uses less digits than its factorization.

4141430230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173717875 (or 173717867 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4141430230240 its reverse (420320341414), we get a palindrome (4561750571654).

The spelling of 4141430230240 in words is "four trillion, one hundred forty-one billion, four hundred thirty million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 149 160 298 596 745 1192 1490 2384 2980 4768 5960 11920 23840 173717711 347435422 694870844 868588555 1389741688 1737177110 2779483376 3474354220 5558966752 6948708440 13897416880 25883938939 27794833760 51767877878 103535755756 129419694695 207071511512 258839389390 414143023024 517678778780 828286046048 1035357557560 2070715115120 4141430230240