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54342125040 = 2435724620929
BaseRepresentation
bin110010100111000010…
…110000010111110000
312012021012021222101210
4302213002300113300
51342243041000130
640544152200120
73632435304300
oct624702602760
9165235258353
1054342125040
1121056792945
12a647099040
13518051b098
1428b72a1600
151630b9a5b0
hexca70b05f0

54342125040 has 120 divisors (see below), whose sum is σ = 195964399440. Its totient is φ = 12421054464.

The previous prime is 54342125029. The next prime is 54342125077. The reversal of 54342125040 is 4052124345.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 54342124989 and 54342125007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2298705 + ... + 2322224.

It is an arithmetic number, because the mean of its divisors is an integer number (1633036662).

Almost surely, 254342125040 is an apocalyptic number.

It is an amenable number.

54342125040 is an abundant number, since it is smaller than the sum of its proper divisors (141622274400).

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

54342125040 is a wasteful number, since it uses less digits than its factorization.

54342125040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4620959 (or 4620946 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 54342125040 its reverse (4052124345), we get a palindrome (58394249385).

The spelling of 54342125040 in words is "fifty-four billion, three hundred forty-two million, one hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 4620929 9241858 13862787 18483716 23104645 27725574 32346503 36967432 46209290 55451148 64693006 69313935 73934864 92418580 97039509 110902296 129386012 138627870 161732515 184837160 194079018 221804592 226425521 258772024 277255740 323465030 369674320 388158036 452851042 485197545 517544048 554511480 646930060 679276563 776316072 905702084 970395090 1109022960 1132127605 1293860120 1358553126 1552632144 1811404168 1940790180 2264255210 2587720240 2717106252 3396382815 3622808336 3881580360 4528510420 5434212504 6792765630 7763160720 9057020840 10868425008 13585531260 18114041680 27171062520 54342125040