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114001003434144 = 2532985703477797
BaseRepresentation
bin11001111010111011101101…
…010100000101000010100000
3112221122101111221101012220210
4121322323231110011002200
5104420243023334343034
61042243201000534120
733004205065545651
oct3172735524050240
9487571457335823
10114001003434144
1133362610490782
12109521a9481340
134b7c32cc3a1b8
14202196c643528
15d2a66382b8e9
hex67aeed5050a0

114001003434144 has 96 divisors (see below), whose sum is σ = 309575950427520. Its totient is φ = 36689473221632.

The previous prime is 114001003434139. The next prime is 114001003434217. The reversal of 114001003434144 is 441434300100411.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238358254 + ... + 238836050.

It is an arithmetic number, because the mean of its divisors is an integer number (3224749483620).

Almost surely, 2114001003434144 is an apocalyptic number.

It is an amenable number.

114001003434144 is an abundant number, since it is smaller than the sum of its proper divisors (195574946993376).

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

114001003434144 is a wasteful number, since it uses less digits than its factorization.

114001003434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563542 (or 563534 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 114001003434144 its reverse (441434300100411), we get a palindrome (555435303534555).

The spelling of 114001003434144 in words is "one hundred fourteen trillion, one billion, three million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 85703 171406 257109 342812 477797 514218 685624 955594 1028436 1371248 1433391 1911188 2056872 2485387 2742496 2866782 3822376 4113744 4970774 5733564 7456161 7644752 8227488 9941548 11467128 13856113 14912322 15289504 19883096 22934256 27712226 29824644 39766192 41568339 45868512 55424452 59649288 79532384 83136678 110848904 119298576 166273356 221697808 238597152 332546712 443395616 665093424 1330186848 40948636291 81897272582 122845908873 163794545164 245691817746 327589090328 491383635492 655178180656 982767270984 1187510452439 1310356361312 1965534541968 2375020904878 3562531357317 3931069083936 4750041809756 7125062714634 9500083619512 14250125429268 19000167239024 28500250858536 38000334478048 57000501717072 114001003434144