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2830014081090 = 2325722932190193
BaseRepresentation
bin101001001011101001111…
…110111110100001000010
3101000112202112202212221200
4221023221332332201002
5332331332101043330
610004031315202030
7411314246533500
oct51135176764102
911015675685850
102830014081090
119a1225196979
12398585ba6316
13176b3b796131
149ad8b087670
154d93627aa60
hex292e9fbe842

2830014081090 has 144 divisors (see below), whose sum is σ = 8588565426168. Its totient is φ = 644652352512.

The previous prime is 2830014081043. The next prime is 2830014081107. The reversal of 2830014081090 is 901804100382.

It can be written as a sum of positive squares in 4 ways, for example, as 2801201395041 + 28812686049 = 1673679^2 + 169743^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 197034 + ... + 2387226.

Almost surely, 22830014081090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830014081090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294282713084).

2830014081090 is an abundant number, since it is smaller than the sum of its proper divisors (5758551345078).

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

2830014081090 is a wasteful number, since it uses less digits than its factorization.

2830014081090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190513 (or 2190503 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 2830014081090 in words is "two trillion, eight hundred thirty billion, fourteen million, eighty-one thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 293 294 315 441 490 586 630 735 879 882 1465 1470 1758 2051 2205 2637 2930 4102 4395 4410 5274 6153 8790 10255 12306 13185 14357 18459 20510 26370 28714 30765 36918 43071 61530 71785 86142 92295 129213 143570 184590 215355 258426 430710 646065 1292130 2190193 4380386 6570579 10950965 13141158 15331351 19711737 21901930 30662702 32852895 39423474 45994053 65705790 76656755 91988106 98558685 107319457 137982159 153313510 197117370 214638914 229970265 275964318 321958371 459940530 536597285 641726549 643916742 689910795 965875113 1073194570 1283453098 1379821590 1609791855 1925179647 1931750226 3208632745 3219583710 3850359294 4492085843 4829375565 5775538941 6417265490 8984171686 9625898235 9658751130 11551077882 13476257529 19251796470 22460429215 26952515058 28877694705 31444600901 40428772587 44920858430 57755389410 62889201802 67381287645 80857545174 94333802703 134762575290 157223004505 188667605406 202143862935 283001408109 314446009010 404287725870 471669013515 566002816218 943338027030 1415007040545 2830014081090