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471342440448 = 2133311193727
BaseRepresentation
bin1101101101111100011…
…00101110000000000000
31200001121122221211222000
412312332030232000000
530210302131043243
61000310504144000
746024206432135
oct6667614560000
91601548854860
10471342440448
11171993579890
1277423768000
13355a7c30249
1418b551c658c
15c3d9cce5d3
hex6dbe32e000

471342440448 has 224 divisors, whose sum is σ = 1523445995520. Its totient is φ = 142830305280.

The previous prime is 471342440447. The next prime is 471342440467. The reversal of 471342440448 is 844044243174.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471342440447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2336161 + ... + 2529887.

Almost surely, 2471342440448 is an apocalyptic number.

471342440448 is a gapful number since it is divisible by the number (48) 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 471342440448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761722997760).

471342440448 is an abundant number, since it is smaller than the sum of its proper divisors (1052103555072).

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

471342440448 is a wasteful number, since it uses less digits than its factorization.

471342440448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193773 (or 193743 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 45.

The spelling of 471342440448 in words is "four hundred seventy-one billion, three hundred forty-two million, four hundred forty thousand, four hundred forty-eight".