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55044344340 = 22335127779823
BaseRepresentation
bin110011010000111001…
…100000101000010100
312021002010122102012000
4303100321200220110
51400212323004330
641141555155300
73656023131006
oct632071405024
9167063572160
1055044344340
1121387108677
12a8022a5b30
135262b5666b
142942656376
15167265a560
hexcd0e60a14

55044344340 has 96 divisors (see below), whose sum is σ = 171385320960. Its totient is φ = 14666813568.

The previous prime is 55044344339. The next prime is 55044344347. The reversal of 55044344340 is 4344344055.

55044344340 is a `hidden beast` number, since 550 + 44 + 34 + 4 + 34 + 0 = 666.

It is a super-3 number, since 3×550443443403 (a number of 33 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 55044344295 and 55044344304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55044344347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 649669 + ... + 729491.

It is an arithmetic number, because the mean of its divisors is an integer number (1785263760).

Almost surely, 255044344340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55044344340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85692660480).

55044344340 is an abundant number, since it is smaller than the sum of its proper divisors (116340976620).

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

55044344340 is a wasteful number, since it uses less digits than its factorization.

55044344340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81118 (or 81110 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 55044344340 its reverse (4344344055), we get a palindrome (59388688395).

The spelling of 55044344340 in words is "fifty-five billion, forty-four million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1277 2554 3831 5108 6385 7662 11493 12770 15324 19155 22986 25540 34479 38310 45972 57465 68958 76620 79823 114930 137916 159646 172395 229860 239469 319292 344790 399115 478938 689580 718407 798230 957876 1197345 1436814 1596460 2155221 2394690 2873628 3592035 4310442 4789380 7184070 8620884 10776105 14368140 21552210 43104420 101933971 203867942 305801913 407735884 509669855 611603826 917405739 1019339710 1223207652 1529009565 1834811478 2038679420 2752217217 3058019130 3669622956 4587028695 5504434434 6116038260 9174057390 11008868868 13761086085 18348114780 27522172170 55044344340