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42441300240 = 2435983179897
BaseRepresentation
bin100111100001101100…
…101101100100010000
311001112210210102211220
4213201230231210100
51143404433101430
631255224205040
73031510046133
oct474154554420
9131483712756
1042441300240
1116aaa00a049
128285609780
134004a9b811
1420a88dc21a
151185eba110
hex9e1b2d910

42441300240 has 80 divisors (see below), whose sum is σ = 131702606208. Its totient is φ = 11306103808.

The previous prime is 42441300203. The next prime is 42441300257. The reversal of 42441300240 is 4200314424.

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 42441300240.

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, 145972 + ... + 325868.

Almost surely, 242441300240 is an apocalyptic number.

42441300240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42441300240 is an abundant number, since it is smaller than the sum of its proper divisors (89261305968).

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

42441300240 is a wasteful number, since it uses less digits than its factorization.

42441300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180896 (or 180890 counting only the distinct ones).

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

Adding to 42441300240 its reverse (4200314424), we get a palindrome (46641614664).

The spelling of 42441300240 in words is "forty-two billion, four hundred forty-one million, three hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 983 1966 2949 3932 4915 5898 7864 9830 11796 14745 15728 19660 23592 29490 39320 47184 58980 78640 117960 179897 235920 359794 539691 719588 899485 1079382 1439176 1798970 2158764 2698455 2878352 3597940 4317528 5396910 7195880 8635056 10793820 14391760 21587640 43175280 176838751 353677502 530516253 707355004 884193755 1061032506 1414710008 1768387510 2122065012 2652581265 2829420016 3536775020 4244130024 5305162530 7073550040 8488260048 10610325060 14147100080 21220650120 42441300240