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140424242320440 = 233451382911933371
BaseRepresentation
bin11111111011011100010001…
…000101001101010000111000
3200102012102111220000101110000
4133323130101011031100320
5121401202322013223230
61214354001212153000
741402213426356131
oct3773342105152070
9612172456011400
10140424242320440
114081a64aa34811
12138bb1aa768760
136047c455cc140
1426967d8d66c88
151137b542deb60
hex7fb71114d438

140424242320440 has 640 divisors, whose sum is σ = 509478545822400. Its totient is φ = 34485099356160.

The previous prime is 140424242320367. The next prime is 140424242320511. The reversal of 140424242320440 is 44023242424041.

140424242320440 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 2 + 424 + 23 + 204 + 4 + 0 = 666.

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 = 140424242320395 and 140424242320404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41656551955 + ... + 41656555325.

Almost surely, 2140424242320440 is an apocalyptic number.

140424242320440 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 140424242320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254739272911200).

140424242320440 is an abundant number, since it is smaller than the sum of its proper divisors (369054303501960).

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

140424242320440 is a wasteful number, since it uses less digits than its factorization.

140424242320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5429 (or 5416 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 140424242320440 its reverse (44023242424041), we get a palindrome (184447484744481).

The spelling of 140424242320440 in words is "one hundred forty trillion, four hundred twenty-four billion, two hundred forty-two million, three hundred twenty thousand, four hundred forty".