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3914444193 = 311373479239
BaseRepresentation
bin1110100101010001…
…1010110110100001
3101002210201100221120
43221110122312201
531004044203233
61444232042453
7166001140512
oct35124326641
911083640846
103914444193
111729668950
12912b33429
134a4c9758a
14291c42a09
1517d9c54b3
hexe951ada1

3914444193 has 32 divisors (see below), whose sum is σ = 5865108480. Its totient is φ = 2301370560.

The previous prime is 3914444167. The next prime is 3914444197.

3914444193 is nontrivially palindromic in base 10.

3914444193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3914444193 - 220 = 3913395617 is a prime.

It is a super-2 number, since 2×39144441932 = 30645746680222842498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3914444197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419068 + ... + 428306.

It is an arithmetic number, because the mean of its divisors is an integer number (183284640).

Almost surely, 23914444193 is an apocalyptic number.

3914444193 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3914444193 is a deficient number, since it is larger than the sum of its proper divisors (1950664287).

3914444193 is a wasteful number, since it uses less digits than its factorization.

3914444193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9637.

The product of its digits is 186624, while the sum is 42.

The square root of 3914444193 is about 62565.5192018735. The cubic root of 3914444193 is about 1576.0017737758.

The spelling of 3914444193 in words is "three billion, nine hundred fourteen million, four hundred forty-four thousand, one hundred ninety-three".

Divisors: 1 3 11 33 37 111 347 407 1041 1221 3817 9239 11451 12839 27717 38517 101629 141229 304887 341843 423687 1025529 3205933 3760273 9617799 11280819 35265263 105795789 118619521 355858563 1304814731 3914444193