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54113140000 = 255419142403
BaseRepresentation
bin110010011001011001…
…001111110100100000
312011200020102022222101
4302121121033310200
51341310430440000
640505332220144
73623655046363
oct623131176440
9164606368871
1054113140000
1120a49503007
12a5a246a654
135144c55a8a
142894ad60da
15161aa17e6a
hexc9964fd20

54113140000 has 120 divisors (see below), whose sum is σ = 140134080240. Its totient is φ = 20505888000.

The previous prime is 54113139967. The next prime is 54113140013. The reversal of 54113140000 is 4131145.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 54113140000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 308799 + ... + 451201.

It is an arithmetic number, because the mean of its divisors is an integer number (1167784002).

Almost surely, 254113140000 is an apocalyptic number.

54113140000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54113140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70067040120).

54113140000 is an abundant number, since it is smaller than the sum of its proper divisors (86020940240).

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

54113140000 is a wasteful number, since it uses less digits than its factorization.

54113140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142452 (or 142429 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 54113140000 its reverse (4131145), we get a palindrome (54117271145).

The spelling of 54113140000 in words is "fifty-four billion, one hundred thirteen million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 625 760 800 950 1000 1250 1520 1900 2000 2375 2500 3040 3800 4000 4750 5000 7600 9500 10000 11875 15200 19000 20000 23750 38000 47500 76000 95000 142403 190000 284806 380000 569612 712015 1139224 1424030 2278448 2705657 2848060 3560075 4556896 5411314 5696120 7120150 10822628 11392240 13528285 14240300 17800375 21645256 22784480 27056570 28480600 35600750 43290512 54113140 56961200 67641425 71201500 86581024 89001875 108226280 113922400 135282850 142403000 178003750 216452560 270565700 284806000 338207125 356007500 432905120 541131400 569612000 676414250 712015000 1082262800 1352828500 1424030000 1691035625 2164525600 2705657000 2848060000 3382071250 5411314000 6764142500 10822628000 13528285000 27056570000 54113140000