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11444032416 = 253313845441
BaseRepresentation
bin10101010100001111…
…00001001110100000
31002112112222002012110
422222013201032200
5141414133014131
65131325155320
7553410445665
oct125207411640
932475862173
1011444032416
114942948a33
1222746bbb40
131104c1501b
147a7c57a6c
1546ea4e646
hex2aa1e13a0

11444032416 has 48 divisors (see below), whose sum is σ = 31009644288. Its totient is φ = 3691622400.

The previous prime is 11444032393. The next prime is 11444032487. The reversal of 11444032416 is 61423044411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×114440324163 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1919745 + ... + 1925696.

It is an arithmetic number, because the mean of its divisors is an integer number (646034256).

Almost surely, 211444032416 is an apocalyptic number.

11444032416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11444032416 is an abundant number, since it is smaller than the sum of its proper divisors (19565611872).

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

11444032416 is a wasteful number, since it uses less digits than its factorization.

11444032416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3845485 (or 3845477 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11444032416 its reverse (61423044411), we get a palindrome (72867076827).

The spelling of 11444032416 in words is "eleven billion, four hundred forty-four million, thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 3845441 7690882 11536323 15381764 23072646 30763528 46145292 61527056 92290584 119208671 123054112 184581168 238417342 357626013 369162336 476834684 715252026 953669368 1430504052 1907338736 2861008104 3814677472 5722016208 11444032416