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2141000856 = 233337267893
BaseRepresentation
bin111111110011101…
…0001010010011000
312112012200010001000
41333213101102120
513341044011411
6552241025000
7104025131001
oct17747212230
95465603030
102141000856
119a95a26a5
124b9025160
13281745117
141644c01a8
15c7e65956
hex7f9d1498

2141000856 has 64 divisors (see below), whose sum is σ = 6107983200. Its totient is φ = 694376064.

The previous prime is 2141000843. The next prime is 2141000857. The reversal of 2141000856 is 6580001412.

It is a super-3 number, since 3×21410008563 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141000857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125955 + ... + 141938.

Almost surely, 22141000856 is an apocalyptic number.

It is an amenable number.

2141000856 is an abundant number, since it is smaller than the sum of its proper divisors (3966982344).

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

2141000856 is a wasteful number, since it uses less digits than its factorization.

2141000856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267945 (or 267935 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2141000856 is about 46270.9504549020. The cubic root of 2141000856 is about 1288.8596087130.

The spelling of 2141000856 in words is "two billion, one hundred forty-one million, eight hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 7992 267893 535786 803679 1071572 1607358 2143144 2411037 3214716 4822074 6429432 7233111 9644148 9912041 14466222 19288296 19824082 28932444 29736123 39648164 57864888 59472246 79296328 89208369 118944492 178416738 237888984 267625107 356833476 535250214 713666952 1070500428 2141000856