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2114121040 = 24559447907
BaseRepresentation
bin111111000000010…
…1110110101010000
312110100002110212021
41332000232311100
513312203333130
6545440541224
7103250506123
oct17600566520
95410073767
102114121040
11995403479
124b0021814
13278cc33c5
14160ac43ba
15c590637a
hex7e02ed50

2114121040 has 40 divisors (see below), whose sum is σ = 4998653280. Its totient is φ = 831313536.

The previous prime is 2114121019. The next prime is 2114121049. The reversal of 2114121040 is 401214112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114121049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219234 + ... + 228673.

It is an arithmetic number, because the mean of its divisors is an integer number (124966332).

Almost surely, 22114121040 is an apocalyptic number.

2114121040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114121040 is an abundant number, since it is smaller than the sum of its proper divisors (2884532240).

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

2114121040 is a wasteful number, since it uses less digits than its factorization.

2114121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447979 (or 447973 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2114121040 is about 45979.5719858287. The cubic root of 2114121040 is about 1283.4430901049.

Adding to 2114121040 its reverse (401214112), we get a palindrome (2515335152).

The spelling of 2114121040 in words is "two billion, one hundred fourteen million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 4720 447907 895814 1791628 2239535 3583256 4479070 7166512 8958140 17916280 26426513 35832560 52853026 105706052 132132565 211412104 264265130 422824208 528530260 1057060520 2114121040