Search a number
-
+
54114533541144 = 23326771110178351
BaseRepresentation
bin11000100110111100001011…
…00011001000010100011000
321002121022001212220200202100
430103132011203020110120
524043103031041304034
6311031512402403400
714253434405442636
oct1423360543102430
9232538055820670
1054114533541144
111627393246a38a
12609b913960560
132426c95036b1b
14d5122bc88356
1563c99ac29099
hex3137858c8518

54114533541144 has 48 divisors (see below), whose sum is σ = 146776679917920. Its totient is φ = 18011533550400.

The previous prime is 54114533541119. The next prime is 54114533541203. The reversal of 54114533541144 is 44114533541145.

54114533541144 is a `hidden beast` number, since 5 + 4 + 1 + 1 + 453 + 3 + 54 + 1 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54114533541144.

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 11 ways as a sum of consecutive naturals, for example, 555040432 + ... + 555137919.

It is an arithmetic number, because the mean of its divisors is an integer number (3057847498290).

Almost surely, 254114533541144 is an apocalyptic number.

It is an amenable number.

54114533541144 is an abundant number, since it is smaller than the sum of its proper divisors (92662146376776).

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

54114533541144 is a wasteful number, since it uses less digits than its factorization.

54114533541144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110179040 (or 1110179033 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

Subtracting from 54114533541144 its reverse (44114533541145), we obtain a palindrome (9999999999999).

The spelling of 54114533541144 in words is "fifty-four trillion, one hundred fourteen billion, five hundred thirty-three million, five hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 677 1354 2031 2708 4062 5416 6093 8124 12186 16248 24372 48744 1110178351 2220356702 3330535053 4440713404 6661070106 8881426808 9991605159 13322140212 19983210318 26644280424 39966420636 79932841272 751590743627 1503181487254 2254772230881 3006362974508 4509544461762 6012725949016 6764316692643 9019088923524 13528633385286 18038177847048 27057266770572 54114533541144