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104444141212242 = 2321310119123137343
BaseRepresentation
bin10111101111110111001011…
…111011111001001001010010
3111200210202120210001111221100
4113233313023323321021102
5102142203100122242432
61010044550500205230
730666561120153306
oct2757671373711122
9450722523044840
10104444141212242
1130308569952237
12b869b83699816
13463806a5969c0
141bb11a28b3d06
15c11c724c607c
hex5efdcbef9252

104444141212242 has 96 divisors (see below), whose sum is σ = 247404472713216. Its totient is φ = 31651883856000.

The previous prime is 104444141212237. The next prime is 104444141212253. The reversal of 104444141212242 is 242212141444401.

104444141212242 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 4 + 414 + 1 + 212 + 24 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 104444141212197 and 104444141212206.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7054578 + ... + 16082765.

It is an arithmetic number, because the mean of its divisors is an integer number (2577129924096).

Almost surely, 2104444141212242 is an apocalyptic number.

104444141212242 is an abundant number, since it is smaller than the sum of its proper divisors (142960331500974).

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

104444141212242 is a wasteful number, since it uses less digits than its factorization.

104444141212242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23137656 (or 23137653 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 104444141212242 its reverse (242212141444401), we get a palindrome (346656282656643).

The spelling of 104444141212242 in words is "one hundred four trillion, four hundred forty-four billion, one hundred forty-one million, two hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 191 202 234 303 382 573 606 909 1146 1313 1719 1818 2483 2626 3438 3939 4966 7449 7878 11817 14898 19291 22347 23634 38582 44694 57873 115746 173619 250783 347238 501566 752349 1504698 2257047 4514094 23137343 46274686 69412029 138824058 208236087 300785459 416472174 601570918 902356377 1804712754 2336871643 2707069131 4419232513 4673743286 5414138262 7010614929 8838465026 13257697539 14021229858 21031844787 26515395078 30379331359 39773092617 42063689574 57450022669 60758662718 79546185234 91137994077 114900045338 172350068007 182275988154 273413982231 344700136014 446342483813 517050204021 546827964462 892684967626 1034100408042 1339027451439 2678054902878 4017082354317 5802452289569 8034164708634 11604904579138 17407356868707 34814713737414 52222070606121 104444141212242