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2141400104 = 231773215693
BaseRepresentation
bin111111110100011…
…0010110000101000
312112020102101200222
41333220302300220
513341144300404
6552253345212
7104031412664
oct17750626050
95466371628
102141400104
119a9845658
124b9198208
13281854a6c
141645858a4
15c7ee3dbe
hex7fa32c28

2141400104 has 32 divisors (see below), whose sum is σ = 4309566120. Its totient is φ = 993908736.

The previous prime is 2141400101. The next prime is 2141400161. The reversal of 2141400104 is 4010041412.

It can be written as a sum of positive squares in 4 ways, for example, as 2140912900 + 487204 = 46270^2 + 698^2 .

It is a super-2 number, since 2×21414001042 = 9171188810822421632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (2141400101) 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, 97919 + ... + 117774.

Almost surely, 22141400104 is an apocalyptic number.

It is an amenable number.

2141400104 is an abundant number, since it is smaller than the sum of its proper divisors (2168166016).

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

2141400104 is a wasteful number, since it uses less digits than its factorization.

2141400104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215789 (or 215785 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2141400104 is about 46275.2644941118. The cubic root of 2141400104 is about 1288.9397180752.

Adding to 2141400104 its reverse (4010041412), we get a palindrome (6151441516).

The spelling of 2141400104 in words is "two billion, one hundred forty-one million, four hundred thousand, one hundred four".

Divisors: 1 2 4 8 17 34 68 73 136 146 292 584 1241 2482 4964 9928 215693 431386 862772 1725544 3666781 7333562 14667124 15745589 29334248 31491178 62982356 125964712 267675013 535350026 1070700052 2141400104