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4101402112 = 2997269307
BaseRepresentation
bin1111010001110110…
…0110111000000000
3101120211111210222221
43310131212320000
531344424331422
61514551140424
7203431225363
oct36435467000
911524453887
104101402112
111815153125
12965674714
13504936472
142ac9cc0da
151901053c7
hexf4766e00

4101402112 has 80 divisors (see below), whose sum is σ = 8337122640. Its totient is φ = 2015428608.

The previous prime is 4101402079. The next prime is 4101402163. The reversal of 4101402112 is 2112041014.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13359463 + ... + 13359769.

It is an arithmetic number, because the mean of its divisors is an integer number (104214033).

Almost surely, 24101402112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4101402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4168561320).

4101402112 is an abundant number, since it is smaller than the sum of its proper divisors (4235720528).

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

4101402112 is an equidigital number, since it uses as much as digits as its factorization.

4101402112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 675 counting only the distinct ones).

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

The square root of 4101402112 is about 64042.1900937187. The cubic root of 4101402112 is about 1600.7030909942.

Adding to 4101402112 its reverse (2112041014), we get a palindrome (6213443126).

The spelling of 4101402112 in words is "four billion, one hundred one million, four hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 269 307 388 512 538 614 776 1076 1228 1552 2152 2456 3104 4304 4912 6208 8608 9824 12416 17216 19648 24832 26093 29779 34432 39296 49664 52186 59558 68864 78592 82583 104372 119116 137728 157184 165166 208744 238232 330332 417488 476464 660664 834976 952928 1321328 1669952 1905856 2642656 3339904 3811712 5285312 6679808 7623424 8010551 10570624 13359616 15246848 16021102 21141248 32042204 42282496 64084408 128168816 256337632 512675264 1025350528 2050701056 4101402112