Search a number
-
+
340234341144120 = 23325945095392067
BaseRepresentation
bin100110101011100001111101…
…1000010110101011000111000
31122121200002022020002011020200
41031113003323002311120320
5324043344412313102440
63203341255404322200
7131444056101434403
oct11527037302653070
91577602266064220
10340234341144120
1199455634759635
12321ab840543360
13117acc6487a567
146003603bd4d3a
1529504217d8c30
hex13570fb0b5638

340234341144120 has 48 divisors (see below), whose sum is σ = 1105761608719560. Its totient is φ = 90729157638336.

The previous prime is 340234341144097. The next prime is 340234341144121. The reversal of 340234341144120 is 21441143432043.

340234341144120 is a `hidden beast` number, since 3 + 4 + 0 + 234 + 3 + 4 + 1 + 1 + 4 + 412 + 0 = 666.

It is a super-2 number, since 2×3402343411441202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340234341144121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 472547695674 + ... + 472547696393.

Almost surely, 2340234341144120 is an apocalyptic number.

340234341144120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340234341144120 is an abundant number, since it is smaller than the sum of its proper divisors (765527267575440).

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

340234341144120 is a wasteful number, since it uses less digits than its factorization.

340234341144120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945095392084 (or 945095392077 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 340234341144120 its reverse (21441143432043), we get a palindrome (361675484576163).

The spelling of 340234341144120 in words is "three hundred forty trillion, two hundred thirty-four billion, three hundred forty-one million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 945095392067 1890190784134 2835286176201 3780381568268 4725476960335 5670572352402 7560763136536 8505858528603 9450953920670 11341144704804 14176430881005 17011717057206 18901907841340 22682289409608 28352861762010 34023434114412 37803815682680 42529292643015 56705723524020 68046868228824 85058585286030 113411447048040 170117170572060 340234341144120