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54450014430140 = 225711328431210639
BaseRepresentation
bin11000110000101101000011…
…10001001010001110111100
321010210101000010101122010022
430120112201301022032330
524114102112143231030
6311445554042231312
714316612055111340
oct1430264161121674
9233711003348108
1054450014430140
111639313770073a
12613493b7b5538
13244c7ca8ac8b4
14d63575315620
156465832a8de5
hex3185a1c4a3bc

54450014430140 has 96 divisors (see below), whose sum is σ = 131882976368640. Its totient is φ = 18496844061696.

The previous prime is 54450014430139. The next prime is 54450014430191. The reversal of 54450014430140 is 4103441005445.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 54450014430140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44370941 + ... + 45581579.

It is an arithmetic number, because the mean of its divisors is an integer number (1373781003840).

Almost surely, 254450014430140 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 54450014430140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65941488184320).

54450014430140 is an abundant number, since it is smaller than the sum of its proper divisors (77432961938500).

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

54450014430140 is a wasteful number, since it uses less digits than its factorization.

54450014430140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213611 (or 1213609 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 54450014430140 its reverse (4103441005445), we get a palindrome (58553455435585).

The spelling of 54450014430140 in words is "fifty-four trillion, four hundred fifty billion, fourteen million, four hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 113 140 226 452 565 791 1130 1582 2260 2843 3164 3955 5686 7910 11372 14215 15820 19901 28430 39802 56860 79604 99505 199010 321259 398020 642518 1210639 1285036 1606295 2248813 2421278 3212590 4497626 4842556 6053195 6425180 8474473 8995252 11244065 12106390 16948946 22488130 24212780 33897892 42372365 44976260 84744730 136802207 169489460 273604414 547208828 684011035 957615449 1368022070 1915230898 2736044140 3441846677 3830461796 4788077245 6883693354 9576154490 13767386708 17209233385 19152308980 24092926739 34418466770 48185853478 68836933540 96371706956 120464633695 240929267390 388928674501 481858534780 777857349002 1555714698004 1944643372505 2722500721507 3889286745010 5445001443014 7778573490020 10890002886028 13612503607535 27225007215070 54450014430140