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11442401414001 = 331591326631851
BaseRepresentation
bin1010011010000010010001…
…0001011000101101110001
31111111212211121222001112000
42212200210101120231301
52444433014230222001
640200322221124213
72260454242151205
oct246404421305561
944455747861460
1011442401414001
113711771328218
1213497450b9669
136500244a707c
142b7b5ac12b05
1514c99a7dea86
hexa6824458b71

11442401414001 has 16 divisors (see below), whose sum is σ = 16952771709120. Its totient is φ = 7627787949600.

The previous prime is 11442401413999. The next prime is 11442401414021. The reversal of 11442401414001 is 10041410424411.

11442401414001 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 240 + 1 + 414 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 11442401414001 - 21 = 11442401413999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11442401414021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12886275 + ... + 13745576.

It is an arithmetic number, because the mean of its divisors is an integer number (1059548231820).

Almost surely, 211442401414001 is an apocalyptic number.

It is an amenable number.

11442401414001 is a deficient number, since it is larger than the sum of its proper divisors (5510370295119).

11442401414001 is a wasteful number, since it uses less digits than its factorization.

11442401414001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26647773 (or 26647767 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 11442401414001 its reverse (10041410424411), we get a palindrome (21483811838412).

The spelling of 11442401414001 in words is "eleven trillion, four hundred forty-two billion, four hundred one million, four hundred fourteen thousand, one".

Divisors: 1 3 9 27 15913 47739 143217 429651 26631851 79895553 239686659 719059977 423792644963 1271377934889 3814133804667 11442401414001