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54124125440 = 285711549149
BaseRepresentation
bin110010011010000011…
…001001110100000000
312011201000002110011112
4302122003021310000
51341321234003230
640510403502452
73624150322040
oct623203116400
9164630073145
1054124125440
1120a54726590
12a5a6087a28
135147301038
142896355720
15161b987d95
hexc9a0c9d00

54124125440 has 144 divisors (see below), whose sum is σ = 161634614400. Its totient is φ = 16869826560.

The previous prime is 54124125431. The next prime is 54124125457. The reversal of 54124125440 is 4452142145.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 54124125397 and 54124125406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176015 + ... + 373134.

It is an arithmetic number, because the mean of its divisors is an integer number (1122462600).

Almost surely, 254124125440 is an apocalyptic number.

It is an amenable number.

54124125440 is an abundant number, since it is smaller than the sum of its proper divisors (107510488960).

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

54124125440 is a wasteful number, since it uses less digits than its factorization.

54124125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549188 (or 549174 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 54124125440 its reverse (4452142145), we get a palindrome (58576267585).

The spelling of 54124125440 in words is "fifty-four billion, one hundred twenty-four million, one hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1280 1408 1540 1760 1792 2240 2464 2816 3080 3520 4480 4928 6160 7040 8960 9856 12320 14080 19712 24640 49280 98560 549149 1098298 2196596 2745745 3844043 4393192 5491490 6040639 7688086 8786384 10982980 12081278 15376172 17572768 19220215 21965960 24162556 30203195 30752344 35145536 38440430 42284473 43931920 48325112 60406390 61504688 70291072 76880860 84568946 87863840 96650224 120812780 123009376 140582144 153761720 169137892 175727680 193300448 211422365 241625560 246018752 307523440 338275784 351455360 386600896 422844730 483251120 492037504 615046880 676551568 702910720 773201792 845689460 966502240 984075008 1230093760 1353103136 1546403584 1691378920 1933004480 2460187520 2706206272 3382757840 3866008960 4920375040 5412412544 6765515680 7732017920 10824825088 13531031360 27062062720 54124125440