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42554241440 = 255973837159
BaseRepresentation
bin100111101000011011…
…100011000110100000
311001211200022110001022
4213220123203012200
51144122341211230
631314341025012
73034351040564
oct475033430640
9131750273038
1042554241440
111705783a487
1282b73b5168
1340222c3829
1420b98db6a4
151190d791e5
hex9e86e31a0

42554241440 has 96 divisors (see below), whose sum is σ = 101850255360. Its totient is φ = 16799883264.

The previous prime is 42554241419. The next prime is 42554241463. The reversal of 42554241440 is 4414245524.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42554241440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5940581 + ... + 5947739.

It is an arithmetic number, because the mean of its divisors is an integer number (1060940160).

Almost surely, 242554241440 is an apocalyptic number.

42554241440 is a gapful number since it is divisible by the number (40) 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 42554241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50925127680).

42554241440 is an abundant number, since it is smaller than the sum of its proper divisors (59296013920).

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

42554241440 is a wasteful number, since it uses less digits than its factorization.

42554241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7654 (or 7646 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 35.

Adding to 42554241440 its reverse (4414245524), we get a palindrome (46968486964).

The spelling of 42554241440 in words is "forty-two billion, five hundred fifty-four million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 383 388 485 766 776 970 1532 1552 1915 1940 3064 3104 3830 3880 6128 7159 7660 7760 12256 14318 15320 15520 28636 30640 35795 37151 57272 61280 71590 74302 114544 143180 148604 185755 229088 286360 297208 371510 572720 594416 694423 743020 1145440 1188832 1388846 1486040 2741897 2777692 2972080 3472115 5483794 5555384 5944160 6944230 10967588 11110768 13709485 13888460 21935176 22221536 27418970 27776920 43870352 54837940 55553840 87740704 109675880 111107680 219351760 265964009 438703520 531928018 1063856036 1329820045 2127712072 2659640090 4255424144 5319280180 8510848288 10638560360 21277120720 42554241440