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114434041401344 = 21273991142627
BaseRepresentation
bin11010000001001111000000…
…011000110101000000000000
3120000011210021002201012211102
4122001033000120311000000
5104444341404044320334
61043214134535233532
733050405136542030
oct3201170030650000
9500153232635742
10114434041401344
113350a2280998a5
1210a02100b188a8
134bb1112159352
1420388cc4db8c0
15d36a5a8e267e
hex6813c0635000

114434041401344 has 52 divisors (see below), whose sum is σ = 261531594127584. Its totient is φ = 49043160588288.

The previous prime is 114434041401319. The next prime is 114434041401431. The reversal of 114434041401344 is 443104140434411.

It is a junction number, because it is equal to n+sod(n) for n = 114434041401298 and 114434041401307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1995542642 + ... + 1995599985.

Almost surely, 2114434041401344 is an apocalyptic number.

114434041401344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114434041401344 is an abundant number, since it is smaller than the sum of its proper divisors (147097552726240).

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

114434041401344 is an frugal number, since it uses more digits than its factorization.

114434041401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3991142658 (or 3991142636 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

Adding to 114434041401344 its reverse (443104140434411), we get a palindrome (557538181835755).

The spelling of 114434041401344 in words is "one hundred fourteen trillion, four hundred thirty-four billion, forty-one million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4096 7168 14336 28672 3991142627 7982285254 15964570508 27937998389 31929141016 55875996778 63858282032 111751993556 127716564064 223503987112 255433128128 447007974224 510866256256 894015948448 1021732512512 1788031896896 2043465025024 3576063793792 4086930050048 7152127587584 8173860100096 14304255175168 16347720200192 28608510350336 57217020700672 114434041401344