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54123453240120 = 233251113667538697
BaseRepresentation
bin11000100111001100110010…
…01101000101001100111000
321002122011002111220100110200
430103212121031011030320
524043224313012140440
6311035545434442200
714254201424565135
oct1423463115051470
9232564074810420
1054123453240120
111627769a3a4230
1260a15a2b93360
132427a86c7ca04
14d5183675958c
1563cd1dd42c30
hex313999345338

54123453240120 has 96 divisors (see below), whose sum is σ = 191892243319920. Its totient is φ = 13120837148160.

The previous prime is 54123453240079. The next prime is 54123453240161. The reversal of 54123453240120 is 2104235432145.

It is a happy number.

54123453240120 is a `hidden beast` number, since 5 + 41 + 2 + 3 + 453 + 2 + 40 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (54123453240079) and next prime (54123453240161).

It is a super-2 number, since 2×541234532401202 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6833765389 + ... + 6833773308.

Almost surely, 254123453240120 is an apocalyptic number.

It is an amenable number.

54123453240120 is an abundant number, since it is smaller than the sum of its proper divisors (137768790079800).

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

54123453240120 is a wasteful number, since it uses less digits than its factorization.

54123453240120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13667538725 (or 13667538718 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 54123453240120 its reverse (2104235432145), we get a palindrome (56227688672265).

The spelling of 54123453240120 in words is "fifty-four trillion, one hundred twenty-three billion, four hundred fifty-three million, two hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 13667538697 27335077394 41002616091 54670154788 68337693485 82005232182 109340309576 123007848273 136675386970 150342925667 164010464364 205013080455 246015696546 273350773940 300685851334 328020928728 410026160910 451028777001 492031393092 546701547880 601371702668 615039241365 751714628335 820052321820 902057554002 984062786184 1202743405336 1230078482730 1353086331003 1503429256670 1640104643640 1804115108004 2255143885005 2460156965460 2706172662006 3006858513340 3608230216008 4510287770010 4920313930920 5412345324012 6013717026680 6765431655015 9020575540020 10824690648024 13530863310030 18041151080040 27061726620060 54123453240120