Search a number
-
+
114011434543240 = 23513370495917913
BaseRepresentation
bin11001111011000101011011…
…000011100110100010001000
3112221200101102220100110112201
4121323011123003212202020
5104420430404220340430
61042252044023445544
733005024426530513
oct3173053303464210
9487611386313481
10114011434543240
1133366a835893a3
121095421a8b68b4
134b8030303b9c0
14202227bb47d7a
15d2aa744958ca
hex67b15b0e6888

114011434543240 has 64 divisors (see below), whose sum is σ = 276265979262000. Its totient is φ = 42095386324992.

The previous prime is 114011434543177. The next prime is 114011434543241. The reversal of 114011434543240 is 42345434110411.

It can be written as a sum of positive squares in 8 ways, for example, as 29333857573476 + 84677576969764 = 5416074^2 + 9202042^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114011434543240.

It is not an unprimeable number, because it can be changed into a prime (114011434543241) 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, 16306524 + ... + 22224436.

Almost surely, 2114011434543240 is an apocalyptic number.

114011434543240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114011434543240 is an abundant number, since it is smaller than the sum of its proper divisors (162254544718760).

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

114011434543240 is a wasteful number, since it uses less digits than its factorization.

114011434543240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5954986 (or 5954982 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 114011434543240 its reverse (42345434110411), we get a palindrome (156356868653651).

The spelling of 114011434543240 in words is "one hundred fourteen trillion, eleven billion, four hundred thirty-four million, five hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 37049 74098 148196 185245 296392 370490 481637 740980 963274 1481960 1926548 2408185 3853096 4816370 5917913 9632740 11835826 19265480 23671652 29589565 47343304 59179130 76932869 118358260 153865738 236716520 307731476 384664345 615462952 769328690 1538657380 3077314760 219252758737 438505517474 877011034948 1096263793685 1754022069896 2192527587370 2850285863581 4385055174740 5700571727162 8770110349480 11401143454324 14251429317905 22802286908648 28502858635810 57005717271620 114011434543240