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42441121200 = 24352173204437
BaseRepresentation
bin100111100001101100…
…000001110110110000
311001112210110100020210
4213201230001312300
51143404411334300
631255220304120
73031505402142
oct474154016660
9131483410223
1042441121200
1116aa99a7585
128285542040
134004a3818a
1420a8892c92
151185e82050
hex9e1b01db0

42441121200 has 120 divisors (see below), whose sum is σ = 136739582928. Its totient is φ = 11252157440.

The previous prime is 42441121181. The next prime is 42441121211. The reversal of 42441121200 is 212114424.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105382 + ... + 309818.

Almost surely, 242441121200 is an apocalyptic number.

42441121200 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 42441121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68369791464).

42441121200 is an abundant number, since it is smaller than the sum of its proper divisors (94298461728).

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

42441121200 is a wasteful number, since it uses less digits than its factorization.

42441121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204631 (or 204620 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 42441121200 its reverse (212114424), we get a palindrome (42653235624).

The spelling of 42441121200 in words is "forty-two billion, four hundred forty-one million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 173 200 240 300 346 400 519 600 692 865 1038 1200 1384 1730 2076 2595 2768 3460 4152 4325 5190 6920 8304 8650 10380 12975 13840 17300 20760 25950 34600 41520 51900 69200 103800 204437 207600 408874 613311 817748 1022185 1226622 1635496 2044370 2453244 3066555 3270992 4088740 4906488 5110925 6133110 8177480 9812976 10221850 12266220 15332775 16354960 20443700 24532440 30665550 35367601 40887400 49064880 61331100 70735202 81774800 106102803 122662200 141470404 176838005 212205606 245324400 282940808 353676010 424411212 530514015 565881616 707352020 848822424 884190025 1061028030 1414704040 1697644848 1768380050 2122056060 2652570075 2829408080 3536760100 4244112120 5305140150 7073520200 8488224240 10610280300 14147040400 21220560600 42441121200