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714380063950080 = 283351159121726171
BaseRepresentation
bin1010001001101110011001000…
…1111100100100010100000000
310110200102001210221111202112000
42202123212101330210110000
51222113400332332400310
611011205400515504000
7303321153642265503
oct24233462174442400
93420361727452460
10714380063950080
1119769497a282790
1268157785bb8000
132487c99bb6b0a8
14c85a272ab513a
15578c9e8e4b4c0
hex289b991f24500

714380063950080 has 1152 divisors, whose sum is σ = 2814808398796800. Its totient is φ = 170101348761600.

The previous prime is 714380063950079. The next prime is 714380063950087. The reversal of 714380063950080 is 80059360083417.

714380063950080 is a `hidden beast` number, since 71 + 4 + 3 + 8 + 0 + 0 + 63 + 9 + 500 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 714380063949999 and 714380063950026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (714380063950087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27296615395 + ... + 27296641565.

It is an arithmetic number, because the mean of its divisors is an integer number (2443410068400).

Almost surely, 2714380063950080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714380063950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407404199398400).

714380063950080 is an abundant number, since it is smaller than the sum of its proper divisors (2100428334846720).

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

714380063950080 is a wasteful number, since it uses less digits than its factorization.

714380063950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27488 (or 27468 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 714380063950080 in words is "seven hundred fourteen trillion, three hundred eighty billion, sixty-three million, nine hundred fifty thousand, eighty".