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104440224241000 = 23532531337112241
BaseRepresentation
bin10111101111110011100010…
…011101110101010101101000
3111200210101110210120202112101
4113233303202131311111220
5102142122034401203000
61010043102054023144
730666362055356134
oct2757634235652550
9450711423522471
10104440224241000
113030693991881a
12b86926b947ab4
134637894c2613b
141bb0d105b43c4
15c11ae36a1e6a
hex5efce2775568

104440224241000 has 128 divisors (see below), whose sum is σ = 244579188597120. Its totient is φ = 41743785600000.

The previous prime is 104440224240977. The next prime is 104440224241009. The reversal of 104440224241000 is 142422044401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 104440224241000.

It is not an unprimeable number, because it can be changed into a prime (104440224241009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8531994880 + ... + 8532007120.

It is an arithmetic number, because the mean of its divisors is an integer number (1910774910915).

Almost surely, 2104440224241000 is an apocalyptic number.

104440224241000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104440224241000 is an abundant number, since it is smaller than the sum of its proper divisors (140138964356120).

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

104440224241000 is a wasteful number, since it uses less digits than its factorization.

104440224241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18164 (or 18150 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 104440224241000 its reverse (142422044401), we get a palindrome (104582646285401).

The spelling of 104440224241000 in words is "one hundred four trillion, four hundred forty billion, two hundred twenty-four million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2531 3371 5062 6742 10124 12241 12655 13484 16855 20248 24482 25310 26968 33710 48964 50620 61205 63275 67420 84275 97928 101240 122410 126550 134840 168550 244820 253100 306025 316375 337100 421375 489640 506200 612050 632750 674200 842750 1224100 1265500 1530125 1685500 2448200 2531000 3060250 3371000 6120500 8532001 12241000 17064002 30981971 34128004 41264411 42660005 61963942 68256008 82528822 85320010 123927884 154909855 165057644 170640020 206322055 213300025 247855768 309819710 330115288 341280040 412644110 426600050 619639420 774549275 825288220 853200100 1031610275 1066500125 1239278840 1549098550 1650576440 1706400200 2063220550 2133000250 3098197100 3872746375 4126441100 4266000500 5158051375 6196394200 7745492750 8252882200 8532001000 10316102750 15490985500 20632205500 30981971000 41264411000 104440224241 208880448482 417760896964 522201121205 835521793928 1044402242410 2088804484820 2611005606025 4177608969640 5222011212050 10444022424100 13055028030125 20888044848200 26110056060250 52220112120500 104440224241000