Search a number
-
+
54145353231354 = 237111009209955337
BaseRepresentation
bin11000100111110101100101…
…00010111010101111111010
321002201020121202121011201010
430103322302202322233322
524044104140411400404
6311054010515334350
714255605220464110
oct1423726242725772
9232636552534633
1054145353231354
1116285a08372840
1260a58952b13b6
132429b671871c8
14d52913105ab0
1563d6a17b9189
hex313eb28babfa

54145353231354 has 128 divisors (see below), whose sum is σ = 135212426496000. Its totient is φ = 14042842490880.

The previous prime is 54145353231259. The next prime is 54145353231367. The reversal of 54145353231354 is 45313235354145.

It is a happy number.

It is a Curzon 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, 978437974 + ... + 978493310.

It is an arithmetic number, because the mean of its divisors is an integer number (1056347082000).

Almost surely, 254145353231354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54145353231354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67606213248000).

54145353231354 is an abundant number, since it is smaller than the sum of its proper divisors (81067073264646).

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

54145353231354 is a wasteful number, since it uses less digits than its factorization.

54145353231354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58468.

The product of its digits is 6480000, while the sum is 48.

Adding to 54145353231354 its reverse (45313235354145), we get a palindrome (99458588585499).

The spelling of 54145353231354 in words is "fifty-four trillion, one hundred forty-five billion, three hundred fifty-three million, two hundred thirty-one thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 1009 2018 2099 3027 4198 6054 6297 7063 11099 12594 14126 14693 21189 22198 23089 29386 33297 42378 44079 46178 55337 66594 69267 77693 88158 110674 138534 155386 161623 166011 233079 323246 332022 387359 466158 484869 608707 774718 969738 1162077 1217414 1826121 2117891 2324154 3652242 4235782 4260949 6353673 8521898 12707346 12782847 14825237 23296801 25565694 29650474 44475711 46593602 55835033 69890403 88951422 111670066 116152363 139780806 163077607 167505099 232304726 326155214 335010198 348457089 390845231 489232821 614185363 696914178 781690462 813066541 978465642 1172535693 1228370726 1277675993 1626133082 1842556089 2345071386 2439199623 2555351986 3685112178 3833027979 4299297541 4878399246 7666055958 8598595082 8943731951 12897892623 17887463902 25795785246 26831195853 53662391706 117197734267 234395468534 351593202801 703186405602 820384139869 1289175076937 1640768279738 2461152419607 2578350153874 3867525230811 4922304839214 7735050461622 9024225538559 18048451077118 27072676615677 54145353231354