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41442300240 = 24351115697841
BaseRepresentation
bin100110100110001001…
…110101000101010000
310221222011222222110220
4212212021311011100
51134333212101430
631012140153040
72664656511525
oct464611650520
9127864888426
1041442300240
1116637109610
128046b38780
133ba5b21863
142011d7114c
151128435110
hex9a6275150

41442300240 has 80 divisors (see below), whose sum is σ = 140150333376. Its totient is φ = 10046617600.

The previous prime is 41442300227. The next prime is 41442300257. The reversal of 41442300240 is 4200324414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 41442300240.

It is a congruent number.

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, 7846281 + ... + 7851560.

Almost surely, 241442300240 is an apocalyptic number.

41442300240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41442300240 is an abundant number, since it is smaller than the sum of its proper divisors (98708033136).

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

41442300240 is a wasteful number, since it uses less digits than its factorization.

41442300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15697868 (or 15697862 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 41442300240 its reverse (4200324414), we get a palindrome (45642624654).

The spelling of 41442300240 in words is "forty-one billion, four hundred forty-two million, three hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 15697841 31395682 47093523 62791364 78489205 94187046 125582728 156978410 172676251 188374092 235467615 251165456 313956820 345352502 376748184 470935230 518028753 627913640 690705004 753496368 863381255 941870460 1036057506 1255827280 1381410008 1726762510 1883740920 2072115012 2590143765 2762820016 3453525020 3767481840 4144230024 5180287530 6907050040 8288460048 10360575060 13814100080 20721150120 41442300240