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1454571075136 = 2641236772
BaseRepresentation
bin10101001010101011001…
…100010011011001000000
312011001111120002122100211
4111022223030103121000
5142312430143401021
63032115402123504
7210042425065324
oct25125314233100
95131446078324
101454571075136
115109754a6793
121b5aa4ab0594
13a721c6a738a
145058a067984
1527c83e823e1
hex152ab313640

1454571075136 has 63 divisors (see below), whose sum is σ = 2959336735747. Its totient is φ = 709353896960.

The previous prime is 1454571075053. The next prime is 1454571075143. The reversal of 1454571075136 is 6315701754541.

The square root of 1454571075136 is 1206056.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 85334094400 + 1369236980736 = 292120^2 + 1170144^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1454571075136.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 395584530 + ... + 395588206.

Almost surely, 21454571075136 is an apocalyptic number.

1454571075136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1454571075136 is the 1206056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1454571075136

1454571075136 is an abundant number, since it is smaller than the sum of its proper divisors (1504765660611).

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

1454571075136 is an frugal number, since it uses more digits than its factorization.

1454571075136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 49.

Multiplying 1454571075136 by its sum of digits (49), we get a square (71273982681664 = 84423922).

The spelling of 1454571075136 in words is "one trillion, four hundred fifty-four billion, five hundred seventy-one million, seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 1681 2624 3362 3677 6724 7354 13448 14708 26896 29416 53792 58832 107584 117664 150757 235328 301514 603028 1206056 2412112 4824224 6181037 9648448 12362074 13520329 24724148 27040658 49448296 54081316 98896592 108162632 197793184 216325264 395586368 432650528 554333489 865301056 1108666978 2217333956 4434667912 8869335824 17738671648 22727673049 35477343296 45455346098 90910692196 181821384392 363642768784 727285537568 1454571075136