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54130240120000 = 265411123023273
BaseRepresentation
bin11000100111011001011011…
…01110111110010011000000
321002122210121111121120102011
430103230231232332103000
524043332212432320000
6311043031121102304
714254531545244012
oct1423545556762300
9232583544546364
1054130240120000
111627a562414570
1260a2977a87994
1324285c9086875
14d51cbbc7a1b2
1563d0b9ab02ba
hex313b2dbbe4c0

54130240120000 has 140 divisors (see below), whose sum is σ = 146427713738856. Its totient is φ = 19683723520000.

The previous prime is 54130240119997. The next prime is 54130240120001. The reversal of 54130240120000 is 2104203145.

It is a super-2 number, since 2×541302401200002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (54130240120001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61071637 + ... + 61951636.

Almost surely, 254130240120000 is an apocalyptic number.

54130240120000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54130240120000 is an abundant number, since it is smaller than the sum of its proper divisors (92297473618856).

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

54130240120000 is a wasteful number, since it uses less digits than its factorization.

54130240120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123023316 (or 123023291 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 54130240120000 its reverse (2104203145), we get a palindrome (54132344323145).

The spelling of 54130240120000 in words is "fifty-four trillion, one hundred thirty billion, two hundred forty million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 40000 44000 55000 88000 110000 220000 440000 123023273 246046546 492093092 615116365 984186184 1230232730 1353256003 1968372368 2460465460 2706512006 3075581825 3936744736 4920930920 5413024012 6151163650 6766280015 7873489472 9841861840 10826048024 12302327300 13532560030 15377909125 19683723680 21652096048 24604654600 27065120060 30755818250 33831400075 39367447360 43304192096 49209309200 54130240120 61511636500 67662800150 76889545625 86608384192 98418618400 108260480240 123023273000 135325600300 153779091250 169157000375 196837236800 216520960480 246046546000 270651200600 307558182500 338314000750 433041920960 492093092000 541302401200 615116365000 676628001500 845785001875 984186184000 1082604802400 1230232730000 1353256003000 1691570003750 2165209604800 2460465460000 2706512006000 3383140007500 4920930920000 5413024012000 6766280015000 10826048024000 13532560030000 27065120060000 54130240120000