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11400046441 = 7421792
BaseRepresentation
bin10101001110111111…
…01110011101101001
31002102111012100210021
422213133232131221
5141321402441231
65123114320441
7552334540000
oct124737563551
932374170707
1011400046441
114920035693
122261a29121
1310c8a84114
147a2087c37
1546ac61811
hex2a77ee769

11400046441 has 15 divisors (see below), whose sum is σ = 13305369021. Its totient is φ = 9766983996.

The previous prime is 11400046369. The next prime is 11400046451. The reversal of 11400046441 is 14464000411.

It is a happy number.

The square root of 11400046441 is 106771.

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

It is not a de Polignac number, because 11400046441 - 215 = 11400013673 is a prime.

It is a super-2 number, since 2×114000464412 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11400046451) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5230690 + ... + 5232868.

Almost surely, 211400046441 is an apocalyptic number.

11400046441 is the 106771-st square number.

11400046441 is the 53386-th centered octagonal number.

It is an amenable number.

11400046441 is a deficient number, since it is larger than the sum of its proper divisors (1905322580).

11400046441 is an frugal number, since it uses more digits than its factorization.

11400046441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Multiplying 11400046441 by its sum of digits (25), we get a square (285001161025 = 5338552).

Adding to 11400046441 its reverse (14464000411), we get a palindrome (25864046852).

The spelling of 11400046441 in words is "eleven billion, four hundred million, forty-six thousand, four hundred forty-one".

Divisors: 1 7 49 343 2179 2401 15253 106771 747397 4748041 5231779 33236287 232654009 1628578063 11400046441