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116401441 = 1383233463
BaseRepresentation
bin1101111000000…
…10010100100001
322010000210202111
412330002110201
5214244321231
615314515321
72612252542
oct674022441
9263023674
10116401441
115a784142
1232b95b41
131b166cc0
14116604c9
15a3444b1
hex6f02521

116401441 has 16 divisors (see below), whose sum is σ = 127685376. Its totient is φ = 105469056.

The previous prime is 116401423. The next prime is 116401451. The reversal of 116401441 is 144104611.

It is a cyclic number.

It is not a de Polignac number, because 116401441 - 217 = 116270369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116401421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251176 + ... + 251638.

It is an arithmetic number, because the mean of its divisors is an integer number (7980336).

Almost surely, 2116401441 is an apocalyptic number.

It is an amenable number.

116401441 is a deficient number, since it is larger than the sum of its proper divisors (11283935).

116401441 is a wasteful number, since it uses less digits than its factorization.

116401441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792.

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 116401441 is about 10788.9499489061. The cubic root of 116401441 is about 488.2618424260.

The spelling of 116401441 in words is "one hundred sixteen million, four hundred one thousand, four hundred forty-one".

Divisors: 1 13 83 233 463 1079 3029 6019 19339 38429 107879 251407 499577 1402427 8953957 116401441