Search a number
-
+
61430215202460 = 223251381913205009
BaseRepresentation
bin11011111011110110101100…
…01001111101011010011100
322001111200010022121122002200
431331323112021331122130
531022433040042434320
6334352352401451500
715640120666526646
oct1575732611753234
9261450108548080
1061430215202460
1118634453aaa1a5
126a81706940b90
132837ac92c8290
141125349ba9896
15717e1a69a290
hex37ded627d69c

61430215202460 has 144 divisors (see below), whose sum is σ = 200696598036480. Its totient is φ = 15119432939520.

The previous prime is 61430215202459. The next prime is 61430215202509. The reversal of 61430215202460 is 6420251203416.

61430215202460 is a `hidden beast` number, since 6 + 1 + 4 + 30 + 21 + 520 + 24 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17564436 + ... + 20769444.

Almost surely, 261430215202460 is an apocalyptic number.

61430215202460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61430215202460 is an abundant number, since it is smaller than the sum of its proper divisors (139266382834020).

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

61430215202460 is a wasteful number, since it uses less digits than its factorization.

61430215202460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213228 (or 3213223 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 61430215202460 its reverse (6420251203416), we get a palindrome (67850466405876).

The spelling of 61430215202460 in words is "sixty-one trillion, four hundred thirty billion, two hundred fifteen million, two hundred two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 8191 16382 24573 32764 40955 49146 73719 81910 98292 106483 122865 147438 163820 212966 245730 294876 319449 368595 425932 491460 532415 638898 737190 958347 1064830 1277796 1474380 1597245 1916694 2129660 3194490 3205009 3833388 4791735 6388980 6410018 9583470 9615027 12820036 16025045 19166940 19230054 28845081 32050090 38460108 41665117 48075135 57690162 64100180 83330234 96150270 115380324 124995351 144225405 166660468 192300540 208325585 249990702 288450810 374986053 416651170 499981404 576901620 624976755 749972106 833302340 1249953510 1499944212 1874930265 2499907020 3749860530 7499721060 26252228719 52504457438 78756686157 105008914876 131261143595 157513372314 236270058471 262522287190 315026744628 341278973347 393783430785 472540116942 525044574380 682557946694 787566861570 945080233884 1023836920041 1181350292355 1365115893388 1575133723140 1706394866735 2047673840082 2362700584710 3071510760123 3412789733470 4095347680164 4725401169420 5119184600205 6143021520246 6825579466940 10238369200410 12286043040492 15357553800615 20476738400820 30715107601230 61430215202460