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54410240000 = 2135410627
BaseRepresentation
bin110010101011000110…
…100110000000000000
312012102221110120120002
4302223012212000000
51342413010140000
640555024135132
73634223260214
oct625306460000
9165387416502
1054410240000
11210911866a6
12a665a674a8
1351916798ac
1428c2352944
151636b528d5
hexcab1a6000

54410240000 has 140 divisors (see below), whose sum is σ = 135986567244. Its totient is φ = 21762048000.

The previous prime is 54410239997. The next prime is 54410240009. The reversal of 54410240000 is 4201445.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54410240009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5114687 + ... + 5125313.

Almost surely, 254410240000 is an apocalyptic number.

54410240000 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 54410240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67993283622).

54410240000 is an abundant number, since it is smaller than the sum of its proper divisors (81576327244).

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

54410240000 is an frugal number, since it uses more digits than its factorization.

54410240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10673 (or 10634 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 54410240000 its reverse (4201445), we get a palindrome (54414441445).

The spelling of 54410240000 in words is "fifty-four billion, four hundred ten million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3200 4000 4096 5000 5120 6400 8000 8192 10000 10240 10627 12800 16000 20000 20480 21254 25600 32000 40000 40960 42508 51200 53135 64000 80000 85016 102400 106270 128000 160000 170032 204800 212540 256000 265675 320000 340064 425080 512000 531350 640000 680128 850160 1024000 1062700 1280000 1328375 1360256 1700320 2125400 2560000 2656750 2720512 3400640 4250800 5120000 5313500 5441024 6641875 6801280 8501600 10627000 10882048 13283750 13602560 17003200 21254000 21764096 26567500 27205120 34006400 42508000 43528192 53135000 54410240 68012800 85016000 87056384 106270000 108820480 136025600 170032000 212540000 217640960 272051200 340064000 425080000 435281920 544102400 680128000 850160000 1088204800 1360256000 1700320000 2176409600 2720512000 3400640000 5441024000 6801280000 10882048000 13602560000 27205120000 54410240000