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7481002144 = 257112276011
BaseRepresentation
bin1101111011110011…
…10000100010100000
3201022100211021200111
412331321300202200
5110310114032034
63234155501104
7353246316610
oct67571604240
921270737614
107481002144
113199915700
121549457794
13922b68ab5
1450d7a8a40
152dbb7d364
hex1bde708a0

7481002144 has 72 divisors (see below), whose sum is σ = 18501636384. Its totient is φ = 2914665600.

The previous prime is 7481002141. The next prime is 7481002159. The reversal of 7481002144 is 4412001847.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7481002141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110902 + ... + 165109.

It is an arithmetic number, because the mean of its divisors is an integer number (256967172).

Almost surely, 27481002144 is an apocalyptic number.

It is an amenable number.

7481002144 is an abundant number, since it is smaller than the sum of its proper divisors (11020634240).

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

7481002144 is a wasteful number, since it uses less digits than its factorization.

7481002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276050 (or 276031 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 7481002144 is about 86492.7866587729. The cubic root of 7481002144 is about 1955.7796655193.

The spelling of 7481002144 in words is "seven billion, four hundred eighty-one million, two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1232 1694 1936 2464 3388 3872 6776 13552 27104 276011 552022 1104044 1932077 2208088 3036121 3864154 4416176 6072242 7728308 8832352 12144484 15456616 21252847 24288968 30913232 33397331 42505694 48577936 61826464 66794662 85011388 97155872 133589324 170022776 233781317 267178648 340045552 467562634 534357296 680091104 935125268 1068714592 1870250536 3740501072 7481002144