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1034288393472 = 2834214123297
BaseRepresentation
bin11110000110100000110…
…01000110110100000000
310122212200100002021210000
433003100121012310000
5113421210312042342
62111051233440000
7134503426200525
oct17032031066400
93585610067700
101034288393472
1136970391a464
12148551110000
13766c0c48269
14380ba23714c
151bd86ad044c
hexf0d0646d00

1034288393472 has 180 divisors, whose sum is σ = 3085633762596. Its totient is φ = 344586977280.

The previous prime is 1034288393447. The next prime is 1034288393473. The reversal of 1034288393472 is 2743938824301.

It is a happy number.

1034288393472 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 2 + 8 + 83 + 93 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 573497231616 + 460791161856 = 757296^2 + 678816^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034288393473) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44384128 + ... + 44407424.

Almost surely, 21034288393472 is an apocalyptic number.

1034288393472 is a gapful number since it is divisible by the number (12) 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 1034288393472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542816881298).

1034288393472 is an abundant number, since it is smaller than the sum of its proper divisors (2051345369124).

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

1034288393472 is an equidigital number, since it uses as much as digits as its factorization.

1034288393472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25466 (or 25443 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 1034288393472 in words is "one trillion, thirty-four billion, two hundred eighty-eight million, three hundred ninety-three thousand, four hundred seventy-two".