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42424110240 = 253588383563
BaseRepresentation
bin100111100000101011…
…001000110010100000
311001111121110002121020
4213200223020302200
51143341033011430
631253411525440
73031210662411
oct474053106240
9131447402536
1042424110240
1116aa0338a36
12827b8b9880
134001360415
1420a6505808
151184721b10
hex9e0ac8ca0

42424110240 has 48 divisors (see below), whose sum is σ = 133635948768. Its totient is φ = 11313095936.

The previous prime is 42424110229. The next prime is 42424110241. The reversal of 42424110240 is 4201142424.

It is a tau number, because it is divible by the number of its divisors (48).

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 42424110240.

It is not an unprimeable number, because it can be changed into a prime (42424110241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44191302 + ... + 44192261.

It is an arithmetic number, because the mean of its divisors is an integer number (2784082266).

Almost surely, 242424110240 is an apocalyptic number.

42424110240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42424110240 is an abundant number, since it is smaller than the sum of its proper divisors (91211838528).

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

42424110240 is a wasteful number, since it uses less digits than its factorization.

42424110240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88383581 (or 88383573 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 42424110240 its reverse (4201142424), we get a palindrome (46625252664).

The spelling of 42424110240 in words is "forty-two billion, four hundred twenty-four million, one hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 88383563 176767126 265150689 353534252 441917815 530301378 707068504 883835630 1060602756 1325753445 1414137008 1767671260 2121205512 2651506890 2828274016 3535342520 4242411024 5303013780 7070685040 8484822048 10606027560 14141370080 21212055120 42424110240