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3144100224 = 27317481633
BaseRepresentation
bin1011101101100111…
…0010100110000000
322010010011211200110
42323121302212000
522414342201344
61235552551320
7140625260646
oct27331624600
98103154613
103144100224
111373843041
12738b52540
133b14c8c45
1421b7d7196
1513605a3b9
hexbb672980

3144100224 has 64 divisors (see below), whose sum is σ = 8842800240. Its totient is φ = 986382336.

The previous prime is 3144100213. The next prime is 3144100277. The reversal of 3144100224 is 4220014413.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 3144100224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234289 + ... + 247344.

Almost surely, 23144100224 is an apocalyptic number.

3144100224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3144100224 is an abundant number, since it is smaller than the sum of its proper divisors (5698700016).

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

3144100224 is a wasteful number, since it uses less digits than its factorization.

3144100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481667 (or 481655 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3144100224 is about 56072.2767863050. The cubic root of 3144100224 is about 1464.9814554219.

Adding to 3144100224 its reverse (4220014413), we get a palindrome (7364114637).

The spelling of 3144100224 in words is "three billion, one hundred forty-four million, one hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 481633 963266 1444899 1926532 2889798 3853064 5779596 7706128 8187761 11559192 15412256 16375522 23118384 24563283 30824512 32751044 46236768 49126566 61649024 65502088 92473536 98253132 131004176 184947072 196506264 262008352 393012528 524016704 786025056 1048033408 1572050112 3144100224