Search a number
-
+
422404130545254 = 233111385736380659
BaseRepresentation
bin110000000001011001010000…
…0001001110001111001100110
32001101121102220010111021122000
41200002302200021301321212
5420331132124404422004
64054213440110150130
7154654456062301314
oct14002624011617146
92041542803437560
10422404130545254
11112655649704680
123b4609007b2346
13151907003a25b0
14764467cd310b4
1533c7a7a2eac39
hex1802ca0271e66

422404130545254 has 128 divisors (see below), whose sum is σ = 1102908821414400. Its totient is φ = 118141200812160.

The previous prime is 422404130545247. The next prime is 422404130545273. The reversal of 422404130545254 is 452545031404224.

422404130545254 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 0 + 41 + 30 + 54 + 525 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63010377 + ... + 69391035.

It is an arithmetic number, because the mean of its divisors is an integer number (8616475167300).

Almost surely, 2422404130545254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422404130545254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551454410707200).

422404130545254 is an abundant number, since it is smaller than the sum of its proper divisors (680504690869146).

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

422404130545254 is a wasteful number, since it uses less digits than its factorization.

422404130545254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6389267 (or 6389261 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

Adding to 422404130545254 its reverse (452545031404224), we get a palindrome (874949161949478).

The spelling of 422404130545254 in words is "four hundred twenty-two trillion, four hundred four billion, one hundred thirty million, five hundred forty-five thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 702 858 1287 2574 3861 7722 8573 17146 25719 51438 77157 94303 111449 154314 188606 222898 231471 282909 334347 462942 565818 668694 848727 1003041 1225939 1697454 2006082 2451878 2546181 3009123 3677817 5092362 6018246 6380659 7355634 11033451 12761318 19141977 22066902 33100353 38283954 57425931 66200706 70187249 82948567 114851862 140374498 165897134 172277793 210561747 248845701 344555586 421123494 497691402 631685241 746537103 912434237 1263370482 1493074206 1824868474 1895055723 2239611309 2737302711 3790111446 4479222618 5474605422 8211908133 16423816266 24635724399 49271448798 54701389607 109402779214 164104168821 328208337642 492312506463 601715285677 711118064891 984625012926 1203430571354 1422236129782 1476937519389 1805145857031 2133354194673 2953875038778 3610291714062 4266708389346 5415437571093 6400062584019 7822298713801 10830875142186 12800125168038 15644597427602 16246312713279 19200187752057 23466896141403 32492625426558 38400375504114 46933792282806 70400688424209 140801376848418 211202065272627 422404130545254