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141201243343440 = 24325761214835077
BaseRepresentation
bin100000000110101111111001…
…111100111000101001010000
3200111221201002102112001010200
4200012233321330320221100
5122001420121243442230
61220150542232455200
741512311304162110
oct4006577174705120
9614851072461120
10141201243343440
1140a9a1248386a5
1213a058b684a500
1360a32b2787187
1426c22689c9040
15114ce7d425160
hex806bf9f38a50

141201243343440 has 720 divisors, whose sum is σ = 551453912440704. Its totient is φ = 31717823754240.

The previous prime is 141201243343429. The next prime is 141201243343543. The reversal of 141201243343440 is 44343342102141.

141201243343440 is a `hidden beast` number, since 1 + 4 + 1 + 20 + 124 + 33 + 43 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1412012433434402 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 141201243343395 and 141201243343404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27811942182 + ... + 27811947258.

Almost surely, 2141201243343440 is an apocalyptic number.

141201243343440 is a gapful number since it is divisible by the number (10) 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 141201243343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275726956220352).

141201243343440 is an abundant number, since it is smaller than the sum of its proper divisors (410252669097264).

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

141201243343440 is a wasteful number, since it uses less digits than its factorization.

141201243343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 141201243343440 its reverse (44343342102141), we get a palindrome (185544585445581).

The spelling of 141201243343440 in words is "one hundred forty-one trillion, two hundred one billion, two hundred forty-three million, three hundred forty-three thousand, four hundred forty".