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54383160440 = 23574711713529
BaseRepresentation
bin110010101001011111…
…010010110001111000
312012101001111210101102
4302221133102301320
51342334042113230
640552215510532
73633444144110
oct625137226170
9165331453342
1054383160440
11210779703a4
12a658988448
135188b87c9b
1428bc904040
1516345a4045
hexca97d2c78

54383160440 has 128 divisors (see below), whose sum is σ = 142980249600. Its totient is φ = 18228188160.

The previous prime is 54383160437. The next prime is 54383160443. The reversal of 54383160440 is 4406138345.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54383160437) and next prime (54383160443).

It is a junction number, because it is equal to n+sod(n) for n = 54383160394 and 54383160403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54383160443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15408596 + ... + 15412124.

It is an arithmetic number, because the mean of its divisors is an integer number (1117033200).

Almost surely, 254383160440 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 54383160440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71490124800).

54383160440 is an abundant number, since it is smaller than the sum of its proper divisors (88597089160).

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

54383160440 is a wasteful number, since it uses less digits than its factorization.

54383160440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

Adding to 54383160440 its reverse (4406138345), we get a palindrome (58789298785).

The spelling of 54383160440 in words is "fifty-four billion, three hundred eighty-three million, one hundred sixty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1171 1316 1645 1880 2342 2632 3290 3529 4684 5855 6580 7058 8197 9368 11710 13160 14116 16394 17645 23420 24703 28232 32788 35290 40985 46840 49406 55037 65576 70580 81970 98812 110074 123515 141160 163940 165863 197624 220148 247030 275185 327880 331726 385259 440296 494060 550370 663452 770518 829315 988120 1100740 1161041 1326904 1541036 1658630 1926295 2201480 2322082 3082072 3317260 3852590 4132459 4644164 5805205 6634520 7705180 8264918 9288328 11610410 15410360 16529836 20662295 23220820 28927213 33059672 41324590 46441640 57854426 82649180 115708852 144636065 165298360 194225573 231417704 289272130 388451146 578544260 776902292 971127865 1157088520 1359579011 1553804584 1942255730 2719158022 3884511460 5438316044 6797895055 7769022920 10876632088 13595790110 27191580220 54383160440