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41430142255320 = 233457132341149011
BaseRepresentation
bin10010110101110001101001…
…11010011000000011011000
312102200200102211220000210000
421122320310322120003120
520412242412404132240
6224040424500053000
711504141355455130
oct1132706472300330
9172620384800700
1041430142255320
1112223474248975
124791532994160
131a16acbb83470
14a3332dd9dac0
154bca5e205430
hex25ae34e980d8

41430142255320 has 1280 divisors, whose sum is σ = 183200931809280. Its totient is φ = 8157260390400.

The previous prime is 41430142255289. The next prime is 41430142255339. The reversal of 41430142255320 is 2355224103414.

It is a happy number.

41430142255320 is a `hidden beast` number, since 4 + 1 + 4 + 301 + 4 + 2 + 25 + 5 + 320 = 666.

It is a super-3 number, since 3×414301422553203 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 277959615 + ... + 278108625.

It is an arithmetic number, because the mean of its divisors is an integer number (143125727976).

Almost surely, 241430142255320 is an apocalyptic number.

41430142255320 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 41430142255320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91600465904640).

41430142255320 is an abundant number, since it is smaller than the sum of its proper divisors (141770789553960).

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

41430142255320 is a wasteful number, since it uses less digits than its factorization.

41430142255320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149118 (or 149105 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 41430142255320 its reverse (2355224103414), we get a palindrome (43785366358734).

The spelling of 41430142255320 in words is "forty-one trillion, four hundred thirty billion, one hundred forty-two million, two hundred fifty-five thousand, three hundred twenty".