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1144378734411 = 31131613177679
BaseRepresentation
bin10000101001110010010…
…010011011011101001011
311001101211201111001121210
4100221302102123131023
5122222141424000121
62233415331504203
7145451525513613
oct20516222333513
94041751431553
101144378734411
11401367a64000
12165956158063
1383bb7086333
143d561415a43
151eb7bac0876
hex10a7249b74b

1144378734411 has 32 divisors (see below), whose sum is σ = 1679357445120. Its totient is φ = 693128985120.

The previous prime is 1144378734407. The next prime is 1144378734481.

1144378734411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1144378734411 - 22 = 1144378734407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1144378734481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6351870 + ... + 6529548.

It is an arithmetic number, because the mean of its divisors is an integer number (52479920160).

Almost surely, 21144378734411 is an apocalyptic number.

1144378734411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1144378734411 is a deficient number, since it is larger than the sum of its proper divisors (534978710709).

1144378734411 is a wasteful number, since it uses less digits than its factorization.

1144378734411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179328 (or 179306 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The spelling of 1144378734411 in words is "one trillion, one hundred forty-four billion, three hundred seventy-eight million, seven hundred thirty-four thousand, four hundred eleven".

Divisors: 1 3 11 33 121 363 1331 1613 3993 4839 17743 53229 177679 195173 533037 585519 1954469 2146903 5863407 6440709 21499159 64497477 236490749 286596227 709472247 859788681 3152558497 9457675491 34678143467 104034430401 381459578137 1144378734411