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4101344544 = 2531123168863
BaseRepresentation
bin1111010001110101…
…1000110100100000
3101120211101220000210
43310131120310200
531344421011134
61514550014120
7203430565503
oct36435306440
911524356023
104101344544
111815113950
12965647340
135049161bb
142ac9b513a
151900e32e9
hexf4758d20

4101344544 has 96 divisors (see below), whose sum is σ = 12255473664. Its totient is φ = 1188788480.

The previous prime is 4101344509. The next prime is 4101344573. The reversal of 4101344544 is 4454431014.

It is a tau number, because it is divible by the number of its divisors (96).

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, 60144 + ... + 108719.

It is an arithmetic number, because the mean of its divisors is an integer number (127661184).

Almost surely, 24101344544 is an apocalyptic number.

4101344544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4101344544 is an abundant number, since it is smaller than the sum of its proper divisors (8154129120).

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

4101344544 is a wasteful number, since it uses less digits than its factorization.

4101344544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168910 (or 168902 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4101344544 is about 64041.7406384305. The cubic root of 4101344544 is about 1600.6956017093.

Adding to 4101344544 its reverse (4454431014), we get a palindrome (8555775558).

The spelling of 4101344544 in words is "four billion, one hundred one million, three hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 3036 4048 6072 8096 12144 24288 168863 337726 506589 675452 1013178 1350904 1857493 2026356 2701808 3714986 3883849 4052712 5403616 5572479 7429972 7767698 8105424 11144958 11651547 14859944 15535396 16210848 22289916 23303094 29719888 31070792 42722339 44579832 46606188 59439776 62141584 85444678 89159664 93212376 124283168 128167017 170889356 178319328 186424752 256334034 341778712 372849504 512668068 683557424 1025336136 1367114848 2050672272 4101344544