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114254104410405 = 3252797907751197
BaseRepresentation
bin11001111110100111011011…
…010011101011100100100101
3112222112120210222111222202200
4121332213123103223210211
5104433414401212113110
61042555335545125113
733031405134420561
oct3176473323534445
9488476728458680
10114254104410405
113344a991383323
1210993264489799
134b9a1675a658b
14202dcdcc246a1
15d320289d36c0
hex67e9db4eb925

114254104410405 has 24 divisors (see below), whose sum is σ = 198111252456312. Its totient is φ = 60913736256384.

The previous prime is 114254104410401. The next prime is 114254104410409. The reversal of 114254104410405 is 504014401452411.

114254104410405 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 541 + 0 + 4 + 4 + 104 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (114254104410401) and next prime (114254104410409).

It can be written as a sum of positive squares in 4 ways, for example, as 18376774270596 + 95877330139809 = 4286814^2 + 9791697^2 .

It is not a de Polignac number, because 114254104410405 - 22 = 114254104410401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114254104410405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114254104410401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453749734 + ... + 454001463.

It is an arithmetic number, because the mean of its divisors is an integer number (8254635519013).

Almost surely, 2114254104410405 is an apocalyptic number.

114254104410405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114254104410405 is a deficient number, since it is larger than the sum of its proper divisors (83857148045907).

114254104410405 is a wasteful number, since it uses less digits than its factorization.

114254104410405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907754005 (or 907754002 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 114254104410405 its reverse (504014401452411), we get a palindrome (618268505862816).

The spelling of 114254104410405 in words is "one hundred fourteen trillion, two hundred fifty-four billion, one hundred four million, four hundred ten thousand, four hundred five".

Divisors: 1 3 5 9 15 45 2797 8391 13985 25173 41955 125865 907751197 2723253591 4538755985 8169760773 13616267955 40848803865 2538980098009 7616940294027 12694900490045 22850820882081 38084701470135 114254104410405