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4402040000208 = 2431723537229199
BaseRepresentation
bin100000000001110111000…
…0001111100111011010000
3120120211102201212211010020
41000003232001330323100
51034110334220001313
613210134054303440
7633015440424444
oct100035601747320
916524381784106
104402040000208
111447992901354
125b118a357b80
1325c158c77a96
141130ba410824
1579791a18323
hex400ee07ced0

4402040000208 has 80 divisors (see below), whose sum is σ = 12041438227200. Its totient is φ = 1380967456768.

The previous prime is 4402040000177. The next prime is 4402040000209. The reversal of 4402040000208 is 8020000402044.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4402040000209) 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, 19091593 + ... + 19320791.

It is an arithmetic number, because the mean of its divisors is an integer number (150517977840).

Almost surely, 24402040000208 is an apocalyptic number.

4402040000208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4402040000208 is an abundant number, since it is smaller than the sum of its proper divisors (7639398226992).

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

4402040000208 is a wasteful number, since it uses less digits than its factorization.

4402040000208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252764 (or 252758 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 4402040000208 in words is "four trillion, four hundred two billion, forty million, two hundred eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 23537 47074 70611 94148 141222 188296 229199 282444 376592 400129 458398 564888 687597 800258 916796 1129776 1200387 1375194 1600516 1833592 2400774 2750388 3201032 3667184 3896383 4801548 5500776 6402064 7792766 9603096 11001552 11689149 15585532 19206192 23378298 31171064 46756596 62342128 93513192 187026384 5394656863 10789313726 16183970589 21578627452 32367941178 43157254904 64735882356 86314509808 91709166671 129471764712 183418333342 258943529424 275127500013 366836666684 550255000026 733673333368 1100510000052 1467346666736 2201020000104 4402040000208