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2431044400134 = 2372928370110061
BaseRepresentation
bin100011011000000101100…
…010011011010000000110
322121101221122221010222110
4203120011202123100012
5304312234331301014
65100450102241450
7340431355311210
oct43300542332006
98541848833873
102431044400134
11858000206519
1233319ba26286
1314832874c23c
148593da855b0
1543385051d59
hex2360589b406

2431044400134 has 128 divisors (see below), whose sum is σ = 5777397550080. Its totient is φ = 667243584000.

The previous prime is 2431044400117. The next prime is 2431044400177. The reversal of 2431044400134 is 4310044401342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241625464 + ... + 241635524.

It is an arithmetic number, because the mean of its divisors is an integer number (45135918360).

Almost surely, 22431044400134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2431044400134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888698775040).

2431044400134 is an abundant number, since it is smaller than the sum of its proper divisors (3346353149946).

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

2431044400134 is a wasteful number, since it uses less digits than its factorization.

2431044400134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11086.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2431044400134 its reverse (4310044401342), we get a palindrome (6741088801476).

The spelling of 2431044400134 in words is "two trillion, four hundred thirty-one billion, forty-four million, four hundred thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 283 406 566 609 701 849 1218 1402 1698 1981 2103 3962 4206 4907 5943 8207 9814 10061 11886 14721 16414 20122 20329 24621 29442 30183 40658 49242 57449 60366 60987 70427 114898 121974 140854 142303 172347 198383 211281 284606 291769 344694 396766 422562 426909 583538 595149 853818 875307 1190298 1388681 1750614 2042383 2777362 2847263 4084766 4166043 5694526 5753107 6127149 7052761 8332086 8541789 11506214 12254298 14105522 17083578 17259321 19930841 21158283 34518642 39861682 40271749 42316566 49369327 59792523 80543498 82570627 98738654 119585046 120815247 148107981 165141254 204530069 241630494 247711881 296215962 409060138 495423762 577994389 613590207 1155988778 1227180414 1431710483 1733983167 1995931363 2863420966 3467966334 3991862726 4295131449 5987794089 8590262898 11975588178 13971519541 27943039082 41914558623 57882009527 83829117246 115764019054 173646028581 347292057162 405174066689 810348133378 1215522200067 2431044400134