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740114504640 = 263357313747227
BaseRepresentation
bin10101100010100100100…
…00110001101111000000
32121202100212000101002000
422301102100301233000
544111223303122030
61324000502224000
7104320504330050
oct12612220615700
92552325011060
10740114504640
11265976385775
12bb532a25000
1354a3c171014
1427b70b9b560
15143bab5b860
hexac52431bc0

740114504640 has 1792 divisors, whose sum is σ = 3244999311360. Its totient is φ = 155211448320.

The previous prime is 740114504599. The next prime is 740114504641. The reversal of 740114504640 is 46405411047.

It is a happy number.

740114504640 is a `hidden beast` number, since 7 + 4 + 0 + 1 + 1 + 4 + 5 + 0 + 4 + 640 = 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 = 740114504595 and 740114504604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (740114504641) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3260416207 + ... + 3260416433.

Almost surely, 2740114504640 is an apocalyptic number.

740114504640 is a gapful number since it is divisible by the number (70) 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 740114504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622499655680).

740114504640 is an abundant number, since it is smaller than the sum of its proper divisors (2504884806720).

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

740114504640 is a wasteful number, since it uses less digits than its factorization.

740114504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 740114504640 its reverse (46405411047), we get a palindrome (786519915687).

The spelling of 740114504640 in words is "seven hundred forty billion, one hundred fourteen million, five hundred four thousand, six hundred forty".