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54234351143406 = 23374092239156677
BaseRepresentation
bin11000101010011011010110…
…01111000000100111101110
321010000202100011212112121000
430111031223033000213232
524102033422343042111
6311202530021421130
714265205531322340
oct1425155317004756
9233022304775530
1054234351143406
111630a728374375
1260bab9256a7a6
13243537b4bab25
14d56d56cb1290
15640b5eba0c56
hex31536b3c09ee

54234351143406 has 128 divisors (see below), whose sum is σ = 138137352192000. Its totient is φ = 15450640088832.

The previous prime is 54234351143351. The next prime is 54234351143411. The reversal of 54234351143406 is 60434115343245.

54234351143406 is a `hidden beast` number, since 5 + 4 + 234 + 3 + 5 + 1 + 1 + 4 + 3 + 406 = 666.

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, 346075540 + ... + 346232216.

It is an arithmetic number, because the mean of its divisors is an integer number (1079198064000).

Almost surely, 254234351143406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54234351143406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69068676096000).

54234351143406 is an abundant number, since it is smaller than the sum of its proper divisors (83903001048594).

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

54234351143406 is a wasteful number, since it uses less digits than its factorization.

54234351143406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159343 (or 159337 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 54234351143406 in words is "fifty-four trillion, two hundred thirty-four billion, three hundred fifty-one million, one hundred forty-three thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 409 818 1227 2239 2454 2863 3681 4478 5726 6717 7362 8589 11043 13434 15673 17178 20151 22086 25767 31346 40302 47019 51534 60453 77301 94038 120906 141057 154602 156677 282114 313354 423171 470031 846342 915751 940062 1096739 1410093 1831502 2193478 2747253 2820186 3290217 4230279 5494506 6410257 6580434 8241759 8460558 9870651 12820514 16483518 19230771 19741302 24725277 29611953 38461542 49450554 57692313 59223906 64080893 115384626 128161786 173076939 192242679 346153878 350799803 384485358 448566251 576728037 701599606 897132502 1052399409 1153456074 1345698753 1730184111 2104798818 2455598621 2691397506 3157198227 3460368222 4037096259 4911197242 6314396454 7366795863 8074192518 9471594681 12111288777 14733591726 18943189362 22100387589 24222577554 44200775178 66301162767 132602325534 143477119427 286954238854 430431358281 860862716562 1004339835989 1291294074843 2008679671978 2582588149686 3013019507967 3873882224529 6026039015934 7747764449058 9039058523901 18078117047802 27117175571703 54234351143406