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54420131400 = 23352175335307
BaseRepresentation
bin110010101011101100…
…010100111001001000
312012110122002010000020
4302223230110321020
51342423023201100
641000020140440
73634403325135
oct625354247110
9165418063006
1054420131400
1121096822208
12a669237720
135193730bab
1428c37a958c
1516379585a0
hexcabb14e48

54420131400 has 96 divisors (see below), whose sum is σ = 178626111840. Its totient is φ = 13658383360.

The previous prime is 54420131399. The next prime is 54420131407. The reversal of 54420131400 is 413102445.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (54420131407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2657454 + ... + 2677853.

It is an arithmetic number, because the mean of its divisors is an integer number (1860688665).

Almost surely, 254420131400 is an apocalyptic number.

54420131400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54420131400 is an abundant number, since it is smaller than the sum of its proper divisors (124205980440).

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

54420131400 is a wasteful number, since it uses less digits than its factorization.

54420131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335343 (or 5335334 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 54420131400 its reverse (413102445), we get a palindrome (54833233845).

The spelling of 54420131400 in words is "fifty-four billion, four hundred twenty million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 5335307 10670614 16005921 21341228 26676535 32011842 42682456 53353070 64023684 80029605 90700219 106706140 128047368 133382675 160059210 181400438 213412280 266765350 272100657 320118420 362800876 400148025 453501095 533530700 544201314 640236840 725601752 800296050 907002190 1067061400 1088402628 1360503285 1600592100 1814004380 2176805256 2267505475 2721006570 3201184200 3628008760 4535010950 5442013140 6802516425 9070021900 10884026280 13605032850 18140043800 27210065700 54420131400