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42242020440 = 2335863407899
BaseRepresentation
bin100111010101110100…
…100001010001011000
311001000220210222100120
4213111310201101120
51143002424123230
631223345033240
73023540151354
oct472564412130
9131026728316
1042242020440
1116a075791a4
12822a925820
133ca2707289
14208a266464
151173754310
hex9d5d21458

42242020440 has 64 divisors (see below), whose sum is σ = 126873216000. Its totient is φ = 11251458432.

The previous prime is 42242020433. The next prime is 42242020441. The reversal of 42242020440 is 4402024224.

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 42242020440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42242020441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100390 + ... + 307509.

It is an arithmetic number, because the mean of its divisors is an integer number (1982394000).

Almost surely, 242242020440 is an apocalyptic number.

42242020440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42242020440 is an abundant number, since it is smaller than the sum of its proper divisors (84631195560).

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

42242020440 is a wasteful number, since it uses less digits than its factorization.

42242020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408776 (or 408772 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 42242020440 its reverse (4402024224), we get a palindrome (46644044664).

The spelling of 42242020440 in words is "forty-two billion, two hundred forty-two million, twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 863 1726 2589 3452 4315 5178 6904 8630 10356 12945 17260 20712 25890 34520 51780 103560 407899 815798 1223697 1631596 2039495 2447394 3263192 4078990 4894788 6118485 8157980 9789576 12236970 16315960 24473940 48947880 352016837 704033674 1056050511 1408067348 1760084185 2112101022 2816134696 3520168370 4224202044 5280252555 7040336740 8448404088 10560505110 14080673480 21121010220 42242020440