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2114140104 = 233260148857
BaseRepresentation
bin111111000000011…
…0011011111001000
312110100010110000100
41332000303133020
513312204440404
6545441205400
7103250615526
oct17600633710
95410113010
102114140104
1199541682a
124b0030860
13278ccbc9b
14160acb316
15c590bd39
hex7e0337c8

2114140104 has 48 divisors (see below), whose sum is σ = 5735440620. Its totient is φ = 703526400.

The previous prime is 2114140103. The next prime is 2114140121. The reversal of 2114140104 is 4010414112.

It can be written as a sum of positive squares in 2 ways, for example, as 1513988100 + 600152004 = 38910^2 + 24498^2 .

It is a super-2 number, since 2×21141401042 = 8939176758682261632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2114140103) 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, 18844 + ... + 67700.

Almost surely, 22114140104 is an apocalyptic number.

2114140104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2114140104 is an abundant number, since it is smaller than the sum of its proper divisors (3621300516).

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

2114140104 is a wasteful number, since it uses less digits than its factorization.

2114140104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49470 (or 49463 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2114140104 is about 45979.7792948161. The cubic root of 2114140104 is about 1283.4469478919.

Adding to 2114140104 its reverse (4010414112), we get a palindrome (6124554216).

The spelling of 2114140104 in words is "two billion, one hundred fourteen million, one hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 601 1202 1803 2404 3606 4808 5409 7212 10818 14424 21636 43272 48857 97714 146571 195428 293142 390856 439713 586284 879426 1172568 1758852 3517704 29363057 58726114 88089171 117452228 176178342 234904456 264267513 352356684 528535026 704713368 1057070052 2114140104