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140430233323440 = 24345195949139373
BaseRepresentation
bin11111111011100001110110…
…001011000100011110110000
3200102012222222102010212120000
4133323201312023010132300
5121401302104212322230
61214400431504150000
741402515044143154
oct3773416613043660
9612188872125500
10140430233323440
114082214477aa65
12139003a1008300
13604868b867a28
142696c068b3064
151137da524bb60
hex7fb8762c47b0

140430233323440 has 800 divisors, whose sum is σ = 523183694457600. Its totient is φ = 34803890472960.

The previous prime is 140430233323403. The next prime is 140430233323447. The reversal of 140430233323440 is 44323332034041.

140430233323440 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 302 + 3 + 3 + 3 + 2 + 344 + 0 = 666.

It is a super-4 number, since 4×1404302333234404 (a number of 58 digits) contains 4444 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 = 140430233323395 and 140430233323404.

It is not an unprimeable number, because it can be changed into a prime (140430233323447) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3566643594 + ... + 3566682966.

It is an arithmetic number, because the mean of its divisors is an integer number (653979618072).

Almost surely, 2140430233323440 is an apocalyptic number.

140430233323440 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 140430233323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261591847228800).

140430233323440 is an abundant number, since it is smaller than the sum of its proper divisors (382753461134160).

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

140430233323440 is a wasteful number, since it uses less digits than its factorization.

140430233323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39967 (or 39952 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 140430233323440 its reverse (44323332034041), we get a palindrome (184753565357481).

The spelling of 140430233323440 in words is "one hundred forty trillion, four hundred thirty billion, two hundred thirty-three million, three hundred twenty-three thousand, four hundred forty".